Question

Angie divides the polynomial function f(x)=x3+3x2−7x−21 by (x + 3). What can she conclude from the fact that the remainder is equal to 0?

Answer 1

See below

Explanation:

Given function

• f(x)=x³ + 3x²- 7x - 21

We can find its factors:

• x³ + 3x² - 7x - 21 =
• x²(x + 3) - 7(x + 3) =
• (x² - 7)(x + 3)

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3