Explain the remainder theorem and synthetic division

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Reference no: EM132269100

Questions: 1. Use the remainder theorem and synthetic division to find f(k)

K =-1; f(x) = x2 - 4x + 5

F(k)=

2. Use the remainder theorem and synthetic division to find? f(k) for the given value of k.

F(x) = -x3 - 10x2 - 25x - 13; k = -6

F(-6)=

3. Use the remainder theorem and synthetic division to find? f(k) for the given value of k.

F(x) = 3x4 - 17x3 - 3x2 + 4x + 4; k = -1/3

F(-1/3)=

4. Use synthetic division to decide whether the given number k is a zero of the polynomial function. If it is? not, give the value of?f(k).

F(x) = x2 - 8x + 15; k=5

Is 5 a zero of the? function? Select the correct choice below? and, if? necessary, fill in the answer box to complete your choice.

5. For the polynomial? function, use the remainder theorem and synthetic division to find? f(k).

F(x) = 3x2 + 48, k = 4i

F(4i) =

6. Express? f(x) in the form f(x) = (x-k) q(x) + r for the given value of k.

F(x) = x3 + 5x2 + 7x + 2, k = -2

Reference no: EM132269100

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