Question

Find the value of c so that (x+2) is a factor of the polynomial p(x). p(x)=4x^3+cx^2+x+2

Answer 1

Altavistard is right, the answer is 8

Explanation:

go look at altavistard...

Answer 2

c = 8

Explanation:

Use synthetic division here; it's the fastest approach.

Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:

-2 4 c 1 2

-8 (-2c+ 16) (4c-34)

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4 (c - 8) (-2c + 17) 4c - 32

The remainder, 4c - 32, must equal zero if (x + 2) is a factor.

Then 4c - 32 = 0, and c = 8