Question

1

1
Consider the polynomial function:
p(x) = 3x3 + 10x2 + ax - 6
where a is an unknown real number.
If
(x + 3)
is a factor of this polynomial what is the value of a? Show all the steps below.

Answer 1

Explanation:

By Factor Theorem, p(-3) = 0.

Therefore 3(-3)³ + 10(-3)² + (-3)a - 6 = 0 and a = 1.