Question

Dividing polynomials

Use synthetic division to evaluate
F(x) = x^3 + x^2 - 3x + 9 for x=-4
F(-4)= ___

Answer 1

To evaluate F(x) = x³ + x² - 3x + 9 for x = -4, F(-4) = -4.

Step-by-step explanation:

To evaluate F(x) = x³ + x² - 3x + 9 for x = -4 using synthetic division, we set up the synthetic division table with the coefficients of the polynomial.

Starting with the first coefficient, which is 1, we bring it down and multiply it by -4. Then, we add the next coefficient to the result. This process is repeated until we have reached the last coefficient.

Following these steps, we find that F(-4) = -4.