The factors of the quadratic expression, x² + 24x + 144 to determine the side lengths of the square is (x + 12)² (option A)
How to factorize the quadratic expression, x² + 24x + 144?
The factors of the quadratic expression, x² + 24x + 144 to determine the side lengths of the square can be calculated as illustrated below:
x² + 24x + 144
- Obtain the product of x² and 144. The result is 144x².
- Now find the factors of 144x² such that when we sum them up, the result will be the middle term (i.e 24x) in the given expression.
- The factors are 12x and 12x .
Thus, we have:
x² + 24x + 144
x² + 12x + 12x + 144
Factorize
x(x + 12) + 12(x + 12)
(x + 12)(x + 12)
(x + 12)²
Thus, the lengths of the square is written as (x + 12)². The correct answer is option A
Complete question:
The area of a square can be expressed as the following
quadratic x² + 24x + 144. Factor the quadratic to determine
the side lengths of the square.
help please asap
a. (x+12)²
b. (x+6)²
c. (x+8)²
d. (x+10)