Use long division to find the quotient​ Q(x) and the remainder​ R(x) when​ P(x) is divided by​ d(x) and express​ P(x) in the form ​d(x)•​Q(x)+​R(x).   ​P(x)=x3+1x^2−4x+416   ​ d(x)=x+8

Q: 3. Let p(x) = 6xª – 13x³ + 13x² – 2. - (a) Find q(x) such that p(x) = (2x – 1)q(x) using synthetic…

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Q: Iff)-2+3-8x +3, show that x- Lis a fagtor of f(x). Hence factorise fx). Use either short or long…

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Q: Given two polynomial functions f(x) = x° – 32x – 6 | and g(x) = x – 6 use synthetic division to find…

A: By synthetic division

Q: 3. Use synthetic division to divide f(x) by x-k for the given value of k. Then express f (x) in the…

A: Given query is to perform synthetic division.

Q: Use an appropriate Chebyshev polynomial to economise f(x) = x³ + 2x² – 5 once

A: In this question, we need to economize the polynomial by using appropriate Chebyshev Polynomial the…

Q: Use synthetic division to divide f(x) by x- c, and then write f(x) in the form f(x) = (x – c)q(x)…

A: f(x)=x5+x3-2, x+3 Write the coefficients of the dividend inside the box and zero of x + 3 which is…

Q: Use synthetic division to divide f(x) by x- k for the given value of k. Then express f(x) in the…

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Q: Find the remainder when f(x) is divided by g(x), without using long division f(x)=x²-9 g(x)=x+3

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Q: Determine Q(x) when P(x)=x³-5x2-3x+2 is divided by x-1 and then expressed in the form Select one: O…

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Q: Show that f (x) = x2 + 3x−1 and g(x) = 3x3 − 9x + x−2 are rational functions—that is, quotients of…

A: To show: That the functions are rational function: Given: The functions are fx=x2+3x-1 and…

Q: 5) Use long division to find the quotient Q(x) and remainder R(x). P(x) = 6x³ 2x² + 4x - 1 and d(x)…

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Q: Use synthetic division to divide f(x) by x-c then write f(x) in the form f(x) = (x - ck(x) +r. 1(x)…

A: Synthetic division is a short-cut method for dividing larger polynomials by the monic or linear…

Q: Determine whether the following polynomials are even, odd, or neither. (A) f (x) = 5a – 2a- 4x + 1…

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Q: Let P(x) be a polynomial of degree 5 with roots 2, – 5 and (3 + i). Write P(x) as a product of…

A: It is given that the roots of 5 degree polynomial are 2,-5,3+i

Q: For the polynomials p(x)=4x* – 3x² +x -1 and d(x) =x² – 1, write in the form p(x)= d(x)q(x)+r(x).

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Q: Use synthetic division and the Remainder Theorem to find f (-1) if ƒ (æ) = 2x* – 3r² + 5 f(-1)%3D

A: the given function is fx=2x4-3x2+5 write the function in standard form as fx=2x4+0x3-3x2+0x+5 use…

Q: #7: For what value of k will the polynomial function f(x)=x'+6x² +kx=4 have the same remainder when…

A: The Polynomial Remainder theorem states that if x-b divides the polynomial, Qx, then the remainder…