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Let p(x) = 2𝑥4−3𝑥3−3𝑥26𝑥 −2 Since x = √2 is a zero , x – √2 is a factor Since x = – √2 is a zero , x √2 is a factor Hence , (x √2) (x √2) is a factor ie (x2 – (√2)^2) is also a factor ie (x2 – 2) is also a factor Now by dividing the given polynomial by (x2 – 2) We can find out other factorsIt means a function x of x1x*(x1) is rightUse the ^ (caret) for exponentiation x^2 means x squared x/2y means Resources Simplifier Portal, help with entering simplifier formulas (a must read)Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor

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P(x)=2ax3-14x2+3x+4-Example 7 (Long division) Divide the polynomial 3x4 – 4x3 – 3x – 1 by x – 1 By long division Example 7 (Remainder theorem) Divide the polynomial 3x4 – 4x2 – 3x – 1 by x – 1 Dividing 3x4 – 4x2 – 3x – 1 by x – 1To get `tan(x)sec^3(x)`, use parentheses tan(x)sec^3(x) From the table below, you can notice that sech is not supported, but you can still enter it using the identity `sech(x)=1/cosh(x)` If you get an error, doublecheck your expression, add parentheses and multiplication signs where needed, and consult the table below

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Welcome to MathPortal This web site owner is mathematician Miloš Petrović I designed this web site and wrote all the lessons, formulas and calculatorsFind the Derivative f(x)=4x^23x2 By the Sum Rule, the derivative of with respect to is Evaluate Tap for more steps Since is constant with respect to , the derivative of with respect to is Differentiate using the Power Rule which states that is where Multiply by EvaluateAnswer ±1, ± , ± , ±2 ±, ± , ±4, ± Stepbystep explanation Given f(x) = To find According to the Rational Root Theorem, what are all the potential rational roots Solution The rational theorem states that if f(x) has integer coefficients and is a rational zero, then q is the factor of leading coefficient and p is the factor of constant term

Transcript Ex 24, 2 Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following cases (i) p(x) = 2x3 x2 – 2x – 1 , g(x) = x 1 Finding remainder when 2x3 x2 – 2x – 1 is divided by x 1 Step 1 Put Divisor = 0 x 1 = 0 x = –1 Step 2 p(x) = 2x3 x2 – 2x – 1 Putting x = –1 p(–1) = 2(−1)3 (−1)2 – 2(−1) – 1 = 2(–1) 1 2 – 1You must use the "*" (star) symbol for all multiplications!x(x1) is WRONG!Ok CoCoyou're able to do those by applying long branch or by applying synthetic branchin case you utilize synthetic then you somewhat ought to have a 0 coefficient for the x^2 term by applying long branch the respond to the 1st question is (x2)*(5x^210x27) with a the remainder of 40 9/(x2) by applying the comparable technique i'm getting (x5)*(2x^22xa million) with a the

4 16,P(X =4) = 1 16 (1) Notice that the denominators of the five fractions are the same and the numerators of the five fractions are 1, 4, 6, 4, 1 The numbers in the numeratorsis a setof binomial coefficients 1 16 = 4 0 1 16, 4 16 = 4 1 1 16, 6 16 = 4 2 1 16, 4 16 = 4 3 1 16, 1 16 = 4 4 1 16P(x) 3x4 5x2 — 3x — 4 Q(x) 2x3 — 4x2 2 R(x) 4x2 — 3x — 7 1 Ver respuesta savanegas está esperando tu ayuda Añade tu respuesta y gana puntos Profeta777 Profeta777 Respuesta p=34 q=4 r=29 Explicación paso a paso P(x)=12 10 12 =34 Q(x)=6 8 2=4 R(x)=8 21=29List all the possible rational zeros of p(x) =2x^3 3x^2 4x 6 I do not understand how to solve this problem, can you please explain to me out to, and thoroughly?

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Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, historyA polynomial P is given P(x) = 2x^3 7x^2 4x 4 Find all the real zeros of P thanks for the homework help!X1 − 3x2 − 2x3 x4 = −4, −2x1 7x2 x3 − 2x4 = −2, 3x1 − 7x2 − 3x3 3x4 = −5 ,5x1 x2 4x3 − 2x4 =

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Solution for 4x3x=818 equation 4x3x=818 We move all terms to the left 4x3x(818)=0 We add all the numbers together, and all the variables 4x3x10=0 We add all the numbers together, and all the variables x10=0 We move all terms containing x to the left, all other terms to the right x=10Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreUsing the Remainder Theorem, find the value of f (–5), for f (x) = 3x 4 2x 3 4x I need to do the synthetic division, remembering to put zeroes in for the powers of x that are not included in the polynomial Since the remainder is 1605, then, thanks to the Remainder Theorem, I know that f (–5) = 1605

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D 2 ydx 2 P(x) dydx Q(x)y = f(x) Variation of Parameters which is a little messier but works on a wider range of functions Undetermined Coefficients (that we will learn here) which only works when f(x) is a polynomial, exponential, sine, cosine or a linear combination of thoseP(x) = (x 5) (x 1)(x 1) Therefore the factors of the polynomial by grouping are (x 5) and (x 1)(x 1) New questions in Mathematics what is the area of the figure?3 Obtain all other zeroes of 3x 4 6x 3 – 2x 2 – 10x 5, if two of its zeroes are √(5 / 3) and √(5 / 3) Solution p(x) = 3x 4 6x 3 – 2x 2 – 10x 5 Since the two zeros are √(5 / 3) and √(5 / 3)Therefore, x – √(5 / 3)x √(5 / 3) = (x 2 – 5 / 3) is a factor of 3x 4 6x 3 – 2x 2 – 10x 5Thus we divide the given polynomial by x 2 – 5 / 3 3x 4 6x 3

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Example Divide 3x 3 – 8x 5 by x – 1 Solution The Dividend is 3x 3 – 8x 5 and the divisor is x – 1 After this, the leading term of the dividend is divided by the leading term of the divisor ie 3x 3 ÷ x =3x 2 This result is multiplied by the divisor ie 3x 2 (x 1) = 3x 33x 2 and it is subtracted from the divisor Now again, this result is treated as a dividend and theSolution for 2x23x2 1 lim x→2 x2 Q A radioactive material disintegrates at a rate proportional to the amount currently presentSolve by finding a common denominator 1 1/3 3 1/4 Find the domain for the rational function f(x) = x5/2x3

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X^45x^24=0 \sqrt{x1}x=7 \left3x1\right=4 \log _2(x1)=\log _3(27) 3^x=9^{x5} equationcalculator f(x)=x^{2}3x 2 en Related Symbolab blog posts Middle School Math Solutions – Equation Calculator Welcome to our new "Getting Started" math solutions series Over the next few weeks, we'll be showing how SymbolabSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreHow do you find the remainder when #P(x) = x^4 9x^3 5x^2 3x4# is divided by x3?

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Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more1P(x)=x^43x^35x^23x4 a Tell how many possible positive rational roots b Tell how many possible negative rational roots c Tell how many possible complex roots 2 Solve the rational equation below Showing work might win partial credit for an incorrect answer x1/2x=x1/2x1 3 Given a zero x=2, of the polynomial x^34x^221x34=0, find the others Showing work might win partialGraph f(x)=3x4 Rewrite the function as an equation Use the slopeintercept form to find the slope and yintercept Tap for more steps The slopeintercept form is , where is the slope and is the yintercept Find the values of and using the form The slope of the line is the value of , and the yintercept is the value of

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412xy 4 8x3 y 3 xy 3x*x 2y3y 3x4 2y5 See the previous problems for instructions Divide the numbers and subtract the exponents The sum of the exponents must always be a positive number nm 32 See the previous problem for instruction 3x3y 6x2Y 3x3y 6x2y 33x3x y y Ixiy H (8xQ A baker determined the annual profit in dollars from selling pies using p(n) = 52n 005n 2, where n is the number of pies soldWhat is the annual profit if the baker sells 400 pies?View DadosLosPolinomios (1)docx from CNN 125 at Republica De Colombia Dados los polinomios P(x) = x4 − 2x2 − 6x − 1 Q(x) = x3 − 6x2 4 R(x) = 2x4 − 2 x − 2 ¿Cuál es la

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Please help, list all the possible rational zeros of p(x) =2x^3 3x^2 4x 6?P(X Y ≤ 1) = Z 1 0 Z 1−x 0 4xydydx = 1 6 (b) Refer to the figure (lower left and lower right) To compute the cdf of Z = X Y, we use the definition of cdf, evaluating each case by double integrating the joint density over the subset of the support set corresponding to {(x,y) x y ≤ z}, for different casesThe Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*xp Note that q and p originate from P/Q reduced to its lowest terms In our case this means that 3x 514x 414x 3 36x 2 43x10 can be divided by 4 different polynomials,including by x5 Polynomial Long Division 53 Polynomial Long Division

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X 5 4x 3 x 2 3x = x • (x 4 4x 2 x 3) Checking for a perfect cube 42 x 4 4x 2 x 3 is not a perfect cube Trying to factor by pulling out 43 Factoring x 4 4x 2 x 3 Thoughtfully split the expression at hand into groups, each group having two terms Group 1 x 3 Group 2 x 4 4x 2 Pull out from each groupYou must use the "*" (star) symbol for all multiplications!x(x1) is WRONG!Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history

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Knowing how to solve problems involving absolute value functions is useful For example, we may need to identify numbers or points on a line that are at a specified distance from a given reference pointFirst, let's find the possible rational roots Any rational zero can be found through this equationANSWER CHOICES A binomial B trinomial C 2 D 3 E 4 F 2x2 5x 3 G 3x2 x 12 H x3 3x2 3x 1 I 4x2 2x 1 J 2x3 8x2 8x 11

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Find an answer to your question Select all of the following that are potential roots of p(x) = x4 − 9x2 − 4x 12?If 4 = x 2 then x 2 = 4 If x 3 = 2x 5 then 2x 5 = x 3 If d = rt then rt = d There may be several different ways to apply the addition property above Sometimes one method is better than another, and in some cases, the symmetric property of equality is also helpful Example 4 Solve 2x = 3x 9 (1)It means a function x of x1x*(x1) is rightUse the ^ (caret) for exponentiation x^2 means x squared x/2y means Resources Simplifier Portal, help with entering simplifier formulas (a must read)

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X^4 10x^2 25 = 0You can put this solution on YOUR website!Use the remainder theorem to find P(2) for P(x)=2x^44x^35x^24 Specifically, give the quotient and the remainder for the associated division and the value of P(2)

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Graph f(x)=x^23x4 Find the properties of the given parabola Tap for more steps Rewrite the equation in vertex form Tap for more steps Complete the square for Tap for more steps Use the form , to find the values of , , and Consider the vertex form of a parabolaAnswer by jim_thompson5910() (Show Source) You can put this solution on YOUR website!Precalculus Real Zeros of Polynomials Remainder and Factor Theorems 1 Answer Jim G Jan 13, 16 292 Explanation To divide by (x 3 ) you don't have to divide by (x 3 ) Using the

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Example 7 (Long division) Divide the polynomial 3x4 – 4x3 – 3x – 1 by x – 1 By long division Example 7 (Remainder theorem) Divide the polynomial 3x4 – 4x2 – 3x – 1 by x – 1 Dividing 3x4 – 4x2 – 3x – 1 by x – 1Factor f(x)=x^32x^2x2 Factor out the greatest common factor from each group Tap for more steps Group the first two terms and the last two terms Factor out the greatest common factor (GCF) from each group Factor the polynomial by factoring out the greatest common factor, Rewrite asGraph f(x)=3x4 Rewrite the function as an equation Use the slopeintercept form to find the slope and yintercept Tap for more steps The slopeintercept form is , where is the slope and is the yintercept Find the values of and using the form The slope of the line is the value of , and the yintercept is the value of

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