Question

Use synthetic division to find P(–3) for P(x) = x4 – 2x3 – 4x + 4

Could some one walk me through this step by step.

Answer 1

Use the remainder theorem.
P(-3) is same as dividing the polynomial by (x + 3) and finding the remainder.

Use synthetic division to divide the polynomial P(x) by (x+3) and find the remainder.

P(x) = x^4 – 2x^3 – 4^x + 4
The x^2 term is missing. Add x^2 with a zero coefficient.
P(x) = x^4 – 2x^3 + 0x^2 – 4^x + 4
divide by x + 3

-3 | 1 -2 0 -4 4
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Answer 2

Thank you very much.

Answer 3

You are welcome. The last item will be the remainder.

Answer 4

Okay, Thanks again

Answer 5

yw.