Question

PLEASE HELP!!!!!

Convert the quadratic function from standard form to factored form. Y=x^2-2x-48.

Answer 1

y=(x-8)(x+6)

Explanation:

8 is a factor of 2, 6 adds up to 48

(also, my calculator can factor :P)

Hope this helps!

Answer 2

y = (x - 8)(x + 6)

Explanation:

In order to turn this into factored form, you need to find which two numbers add to -2 and multiply to -48. First, identify factors and see which ones have a difference of 2:

2 × 24

3 × 16

4 × 12

6 × 8

6 and 8 have a difference of 2 and multiply to 48. In order for them to add to -2 and multiply to -48 though, one must be negative. You can tell that 8 will be negative because -8 + 6 = -2 and -8 × 6 = -48.

At this point, you can write the factored form:

y = (x - 8)(x + 6)

(If you want to check your answer, you can just multiply the binomials using FOIL and see if they are the same as the given quadratic function)