Use synthetic division to solve for P(–3) for P(x)=x^4–2x^3–4x+4 .

Answer 1

To use synthetic division, we set up the divisor and use the coefficients of P(x) as the dividend.

The divisor is x - (-3), which simplifies to x + 3.

The coefficients of P(x) are 1, -2, -4, 0, 4.

Using synthetic division, we can set up the long division as follows:

-3 | 1 -2 -4 0 4
(_______)
1 -5 7 -21 -63

Therefore, P(-3) = -63.