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: 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: 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: Let P(x)=-x²³+2x2-6x'-5x'-1 and D(x)=x+1 Determine the remainder when P(x) is divided by D(x)

A: The given polynomial is:Px=-x23+2x12-6x7-5x4-1Dx=x+1To find the remainder.

Q: 2. Write the polynomial f(x) = 5x-4 in the form f(x) = (x−2)Q(x) + f(2) for some polynomial Q(x).

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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: 1. Sketch the polynomial /(x) = (2-x)²(x+1)(x-4)³

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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: 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: 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: p(x) = x(x-k) (x+k) is divided by (x-2k) is  3/4. Find the value of k. Hence, find the remainder…

A: We have p(x)=x(x-k) (x+k) Remainder theorem says that when a polynomial px is divided by x-a then…