Question

Use synthetic division to determine p(c) for the given value of c and the given polynomial . p(x) = 3x ^ 5 - 64; c = - 2

Answer 1

Explanation:

To use synthetic division to evaluate the polynomial p(x) = 3x^5 - 64 at x = -2, we first write the coefficients of the polynomial in descending order of degree, including zero coefficients for any missing terms.

For p(x) = 3x^5 - 64, the coefficients are 3, 0, 0, 0, 0, -64.

Next, we write down the value of c = -2 and perform synthetic division: ( please see attached image)

The last number in the bottom row, -160, is the value of p(-2). So, p(-2) = -160.