Select the polynomial that can be factored as (2x-5) ^2

a 4x^2-25

b 4x^2-20x+25

c 4x^2-10x+25

d 4x^2-20x-25

Question

Mathematics

Selina

6 September, 05:36

Select the polynomial that can be factored as (2x-5) ^2

a 4x^2-25

b 4x^2-20x+25

c 4x^2-10x+25

d 4x^2-20x-25

+2

Answers (1)

Know the Answer?

Owen Jones · Answer 1

d. 4x^2-20x-25

Step-by-step explanation:

So, we have to multiply (2x-5) by itself. That gives:

(2x-5) (2x-5) = 2x (2x-5) - 5 (2x-5) = 4x² - 10x - 10x + 25

so, the correct answer is 4x² - 20x + 25

It's just important to multiply each component carefully by using the distributive property.

Select the polynomial that can be factored as (2x-5) ^2a 4x^2-25b 4x^2-20x+25c 4x^2-10x+25d 4x^2-20x-25

Select the polynomial that can be factored as (2x-5) ^2

a 4x^2-25

b 4x^2-20x+25

c 4x^2-10x+25

d 4x^2-20x-25