Question

EASY POINTS. all irregular/wrong answers will be reported and removed, this is not easy points if you don't know how to factor.

I need these to be in the greatest common factor form, i am in a business calc class and understand everything but the algebra :) i hate algebra.
1) 36x^2-24x
2)12x^2-24x
3)45x^3-30x

Answer 1

`12x(3x-2); 12x(x-2); 15x(3x^2-2)`

Explanation:

Look at the coefficients of the first espression. 36 and 24 are both multiples of 12. We can collect 12x from both and we get

`36x^2-24x=12x(3x-2)`

Second, 12 and 24 are obviously one twice the other, the common factor is again 12x:

`12x^2-24x = 12x(x^2-2)`

Third polynomial: this time the greatest common divisor of 45 and 30 is 15. Let's collect 15x from either

`45x^3-30x=15x(3x^2-2)`

Answer 2

Explanation:

1)

Take 12x as a common factor

12x(3x-2)

12 since both 36 and 24 are divisible by 12

2)

Take 12x as a common factor again

12x(x-2)

3)

Take 15x as a common factor

15x(3x²-2)

3x²-2 can be written as the difference of 2 squares

15x(√3 x+√2)(√3 x-√2)