Question

1.

Use synthetic division and the Remainder Theorem to find P(a).

P(x) = x3 + 7x2 + 4x; a = −2


2


12


−2


0

Answer 1

12

Explanation:

Please write this function as P(x) = x^3 + 7x^2 + 4x + 0. This third order function has four coefficients. We set up synthetic division with -2 as the divisor:

-2 / 1 7 4 0

-2 -10 12

----------------------

1 5 -6 12

The remainder is 12. Accordng to the Remainder Theorem, the value of P(x) at x = -2 is 12.