use synthetic division and the remainder theorem to find p(a). p(x)=x^3+7x^2+4x;a=-2

Answer 1

With p(x) = x³ + 7x² +4x, and a = -2, set up the synthetic division table with the coefficients:

-2 | 1 7 4

| -2 -10

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1 5 | -6 |

The Remainder Theorem says that the remainder -6 from this process is the value of p(a) when a = -2, so p(-2) = -6.