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# Math 2 Honors in Highschool

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"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...

May 8, 2018

#1
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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)   May 8, 2018
edited by CPhill  May 8, 2018
#2
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6x(2x + 10)?

and

4x(2x + 5)?

Guest May 8, 2018
#3
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Excellent....!!!

P.S.  - you can always check  your work  by multiplying the factorization back out.....if you get what you started with, you have done it correctly  !!!!   CPhill  May 8, 2018