What is the factored form of the polynomial? x² + 9x + 20

Solution:

Given polynomial is

x² + 9x + 20

We use quadratic formula to factor the quadratic polynomial.

x = -b ± √(b² - 4ac) / 2a

Here, a = 1, b = 9, c = 20

x = -9 ± √(9² - 4(20)) / 2(1)

x = -9 ± √(81 - 80) / 2

x = -9 ± 1 /2

x = -10/2, -8/2

x = -5, -4

Factored form (x + 5)(x + 4)

What is the factored form of the polynomial? x² + 9x + 20

Summary:

The factored form of the polynomial x² + 9x + 20 is (x + 5)(x + 4).