What is the expression in factored form? x² + 14x + 48

Solution:

Given x² + 14x + 48

We are required to factor the quadratic polynomial given here.

where a = 1, b = 14, c = 48

We have quadratic formula to find the roots of quadratic polynomial.

x = -b ± √(b² - 4ac) / 2a

x = -14 ± √(14² - 4(48)) / 2(1)

x = -14 ± √(196 - 192) / 2

x = -14 ± √4 /2

x = -14 ±2 /2

x = -16/2, -12/2

x = -6, -8

Factored form is (x + 6)(x + 8)

What is the expression in factored form? x² + 14x + 48

Summary:

The expression in factored form x² + 14x + 48 is (x + 6)(x + 8).