Question

the factors of polynomial 5x²-125​

Answer 1

Step-by-step explanation:

5x2 - 125

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

5x2 - 125 = 5 • (x2 - 25)

Trying to factor as a Difference of Squares:

3.2 Factoring: x2 - 25

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Answer 2

Answer:

+5, -5

Step-by-step explanation:

5x²=125

x²=25

x=±5