Question

Factorize these Quadratic Expressions; 1) 3x^2 - 12, 2) 10w^2 - 1000, 3) 3^2-100, 4) x^2 - x - 12, 5) x^2 - 3x - 18.

Answer 1

I'll do the first one for you and you can then figure out how to do 2 and 3.

3x^2 - 12 = 3x^2 - 3(4) = 3 (x^2 - 4)

Now x^2 - 4 = x^2 - 2^2

a difference of squares, hence

x^2 - 4 = (x-2)(x+2)

Thus 3x^2 - 12 = 3(x-2)(x+2)

Answer 2

(x-6)(x+3) is the last one

Answer 3

(x-4)(x-3) is the 4th one

Answer 4

10(w-10)^2 is the second one and im not sure if you wrote the 3rd one wrong, if not its -91