"Factor the following. (Write the expression as the product of 2 linear factors"
1.
x^2 + 4x
2.
7x^2 - 21x
3.
12x^2 + 60x
4.
8x^2 + 20x
And if you could explain how you did one or 2 of them that would be awesome, my teacher sucks...
1. x^2 + 4x
Just take out the greatest common factor (GCF)....x
To find the other inear factor.... just divide each term by this GCF...so we have
x^2 + 4x
___ ____ =
x x
x + 4
So..... the factorization is x ( x + 4)
2. Similarly
7x^2 - 21x the GCF = 7x
So....dividing each term by the GCF
7x^2 - 21x
____ ____ =
7x 7x
x - 3
So...the factorization is 7x (x - 3)
Do you want to try 3 and 4 on your own???...we'll check your answers.....