Use synthetic division to divide x° + 2x – 29x – 26 by x – 5 The quotient is: x2 + 7x + 6 The remainder is: 4

Q: If it is given that -2 – 3i is one of the roots of the polynomial z3 + 9z² + pz + 65 = 0 , find a)…

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Q: Given two polynomial functions f(æ) = x° + 2a² – 28x – 35 - and g(x) = x – 5 use synthetic division…

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Q: Giveni SP bisects <RSV meRST =2x+3y のTSV= 3xーシ+2 m2RSV =8D find: x and

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Q: 13 is divided by T(1) x + 4? If there is a remainder, express the result in the form q(x) + What is…

A: Here r(x) denote the remainder and b(x) = x+4 when we divide this then we get remainder to get…

Q: Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1(x) = x + 2 and…

A: The remainder theorem says that when a polynomial px is divided by x-a. The remainder is obtained as…

Q: nd the possible roots of the polynomial 2x³ + x4 - 7x² - 8x + 12 e factors of ± by factors of ± 12 1…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: (7r + ェ2+z) + (z2+ 1)

A: 7x3+x2+x÷x2+1

Q: Find 2) (x) using long division for f(x) = x? + 8x + 16 g(x) = x + 3 The quotient is The remainder…

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Q: Given (3x + 1)*: The term with x is:

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Q: Find the number of zeroes of the given polynomials and also find their value  p(x)=2x+1 q(y)=y2-1

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Q: Find a, b, c E R such that the polynomial f(x) = x³ + ax? + bx + c is divisible by g1 (x) = x + 2…

A: The given question is related with polynomials. Given that,                  fx = x3 + ax2 + bx + c…

Q: Use long division to find the quotien Q(x) and the remainder R(x) when P(x) is divided by d(x) and…

A: To find the quotient using long division.

Q: k(x) = −x2 − 6x + 7 k(radical of 6)

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Q: Consider the polynomial P (x)=kx' - 5x +3x + 2. Find the value of k such that the remainder is 4…

A: The polynomial is given by Px = kx3-5x2+3x+2 The remainder obtained after dividing the polynomial Px…

Q: For the polynomial function A(x) = 2æ³ + 5a2 –28x–15 we know (x + 5) is a factor. Rewrite A(x) as a…

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Q: Given f(x) = 2r – 7x + 9x - 3, use the Remainder Theorem to find f(-13). %3D

A: Given: f(x)=2x3-7x2+9x-3, Use the Remainder theorem to find f(-13)

Q: Express in long division

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Q: Use synthetic division to show that c is a zero of f (x) .

A: fx=3x4+8x3-2x2-10x+4,   c=-2 By using synthetic division, we get -2 3        8        -2        -10…

Q: Use synthetic division to find (9x + 26x² + 21x - 33) (x + 2). Write your answer in the form q(x) +…

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Q: Consider the division f(x) ÷ (x – k) where f(x) = (x + 5)²(x – 5)(x + 6)³. %3D (a) What is the…

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Q: If f(x) = 5x +2 and g(x)= 9x+ a, find a so that the graph of fo g crosses the y-axis at 247. %3D %3D…

A: f(x)=5x2+2g(x)=9x+afοg=f(g(x))     =5(9x+a)2+2

Q: Use the remainder theorem to find f (c).

A: Given that, f(x)=3x3-x2+5x-4

Q: Find the value of p from the polynomial  x2 +3x+p if one of the zeroes of the polynomial is 2

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Q: Use synthetic division to find (x' - 5x + 14x + 29) (x- 2). Write your answer in the form q(x) +…

A: Please see the answer below.

Q: Given f(x) = 2x³ - 4x + 42. %3D a) Find a rational zeros of f(x) b) Find the other factors using…

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Q: 2. For 5a + 30z – 40z? + 36x + 14 and c = -7, find P(c) using the Remainder Theorem.

A: we have to find p(c) by using remainder theorem

Q: Determine the number of zeros in the right half-plane (Re z > 0) of the polynomial p(2) = 23 + 22 +…

A: "Since you have asked multiple questions we will solve the first question. For the remaining kindly…

Q: 1. Use polynomial identities to find the factors: a) 8x° – 27y3 b) m° + 27n c) x6 - 25y4 1. d) x° -…

A: a) 8x⁶-27y³ We can also write the term as, (2x²)³ - (3y)³ The above equation is of the form a³-b³.…

Q: Use the synthetic division to show that 3is a solution of the polynomial equation. 14x 3-17x2-16x…

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Q: The polynomial p(x) has the rest (x+2) when dividing it by (x^2+2x-3) and the rest 1 when dividing…

A: We have given that  p(x) leaves the remainder (x+2) when divided by x2+2x-3 and  p(x) leaves the…

Q: Use the Remainder theorem to find the remainder when f(x) = x3 + 3x? – 18x - 40 is divided by x- 2.…

A: According to reminder theorem, if a polynomial f(x) is divided by (x-a), then the  reminder is the…

Q: Used synthetic dIVision to find the other factors o 1. (2x + x³ + 7x² – 40), (x – 2) 2. (-9x² + 2x³+…

A: Use synthetic division to solve

Q: Find all the real zeros of the polynomial P(r) r'+6r+7x-4.

A: Given,          The polynomial is Px=x3+6x2+7x-4 .

Q: For the polynomial below, 3 is a zero. h(x)=Dx' +2x 9x 18 Express h (x) as a product of linear…

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Q: Use synthetic division to divide the polynomial by the lincar factor. (3x +11x+6) (x + 3) Indicate…

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Q: Ive the following polynomial equation by factoring. x*- 15x2 – 10x + 24 = 0 ow all work to earn full…

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Q: Consider the division f(x) ÷ (x – k) where f(x) = (x + 8)²(x – 8)(x + 5)³. (a) What is the remainder…

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Q: For the polynomial ​P(x)=2x4−5x2−5x−9 and c=−4​, find​ P(c) by ​(a) direct substitution and ​(b) the…

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Q: Use synthetic division to find P(-3) for P(x) = xª– 2x³–4x + 4.

A: We can use synthetic division to find the answer as below.

Q: Rewie the polynomial in the form ax+ bx+c and then identify the val b, and c 9x – a2 8. - - -

A: Identify the value of a,b,c

Q: Use synthetic division to find f (c) .

A: given,         fx=8x5-3x2+7                  and c=1/2

Q: Use long division to find the quotient  q(x)  and remainder  r(x)  when the polynomial  f(x)  is…

A: Steps to follow for Long division of polynomials: 1) First arrange the indices of the polynomial in…

Q: E Given that x = 3 is a solution of f(x), factor f(x) =x'-10x² +33x-36 completely using long…

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Q: find y' (a) by applying the Product Rule and(b) by multiplying the factors to produce a sum of…

A: a). Differentiating with respect to x, we get

Q: USE the synthetic method of division to divide the polynomial f(z) = 2 – 32 by d(r) %3D

A: Given : We have given the polynomial fx = x5 - 32  and dx = x - 2 To find : Divide the given…

Q: Use synthetic division to find the result when x + 2x2-11a + 24 is divided by x +5. If there is a…

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Q: Use synthetic division to show that c is a zero of f (x) .

A: Given f(x)=27x4-9x3+3x2+6x+1               c=-13To show that c=-13 is a zero of f(x)by synthetic…

Q: determine the degree of the given polynomials. -x2y + 2xy2 - xy

A: Given the polynomials  -x2y+2xy2-xy

Q: Consider the polynomial p (x) = 2 (x + 1) (x – 3)² (A) As х — —о y →? (B) As y →? (C) Find the zeros…

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Q: 2n b) The polynomial, fW =2x" +mx-3, where m and n are real constants, %3D is divisible by (x+1) but…

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