Quick math help? thanks :]?

Question

How would you solve these equations by factoring and applying the zero-product property?

1) x^2-256=0

2) 6x^2-x-1=0

3) 7x^2-2=5x


How would you use factoring and the zero product property to the find the zeros of these quadratic functions?

1) 2x^2+3x-5

2) 2x^2+3x-2


Thanks so much. I'm sorry I keep asking questions I'm just having a ton of trouble with math this year.

Answer 1

I hope you know that "to solve quadratic equation" and "to find the zeros of quadratic function" is actually the same problem.

All five questions are the same, just numbers differ. It is a boring routine to solve all of them. Here is one of them:

3)

7x² - 2 = 5x
7x² - 5x – 2 = 0
x² - (5/7)x – 2/7 = 0
(x – 1) (x + 2/7) = 0

Solutions:
x = 1
and
x = -2/7

Please help me to solve the others.

-