Question

Factor the polynomial 8x2 - 50

Answer 1

Answer:

2(2x - 5)(2x + 5)

Step-by-step explanation:

$8x^{2} -50$

First pull out 2.

2$(4x^{2} -25)$

We can see each is a square after pulling out 2.

square root of 4 is 2 and square root of 25 is 5. Because the we have - 25 we know we have opposite signs, two - would make a positive, and two + would also make a positive, and the middle wouldn't cancel out. So we have:

2(2x - 5)(2x +5)

Let's check our work. Focus on the ( ) first.

2(2x - 5)(2x + 5)

2x * 2x + 2x * 5  - 5 * 2x - 5 * 5

4$x^{2}$ + 10x - 10x - 25

4$x^{2}$ - 25      Can't forget to multiply by 2!

2 (4$x^{2}$ - 25 )

8$x^{2}$ - 50