Question

What is the factorization of the polynomial below?

4x2 - 25

A. (2x + 5)(2x - 5)
B. (4x - 5)(x - 5)
C. (2x - 5)(2x - 5)
D. (4x + 5)(x - 5)

Answer 1

Answer:

A. (2x + 5)(2x - 5)

Step-by-step explanation:

Factor out the polynomial given.

(4x² - 25) = (2x - 5)(2x + 5)

Check: Use the FOIL method.

(2x)(2x) = 4x²

(2x)(5) = 10x

(2x)(-5) = -10x

(-5)(5) = -25

Simplify. Combine like terms: 4x² + 10x - 10x - 25 = 4x² - 25

A. (2x + 5)(2x - 5) is your answer

~

Answer 2

Steps:

So for this, we will be applying the difference of squares rule, which is $x^2-y^2=(x+y)(x-y)$ . In this case:

$\sqrt{4x^2}=2x\\\sqrt{25}=5\\\\4x^2-25=(2x+5)(2x-5)$

Answer:

In short, your answer is A. (2x + 5)(2x - 5).