Factor out the greatest common monomial factor,
9z^2-18z^3
4p-8p^2
9z^2-18z^3
4p-8p^2
-
Factoring Strategy
1. Look for greatest common factor (GCF) is the largest term that will evenly divide into all terms of the original polynomial.
In your case 9z^2 for the first question and 4p for the second are your GCF's.
Your answere will be: 9z^2(1-2z) and you are finished sense you can not factor anything anymore.
4p(1-2p) and you are finished sense you can not factor anything anymore.
for example: 24x^2-54 (GCF is 6)
6(4x^2-9) (now check if it is a different of squares) Yes it is
6(2x+3)(2x-3) (finished)
2. Look at number of terms
- 4 terms - factor by grouping
- 3 terms - foil or ac method or be product/sum
- 2 terms - look for a difference of squares
3. Factor completely!
I hope it helped that I explained how and why this is your solution.
1. Look for greatest common factor (GCF) is the largest term that will evenly divide into all terms of the original polynomial.
In your case 9z^2 for the first question and 4p for the second are your GCF's.
Your answere will be: 9z^2(1-2z) and you are finished sense you can not factor anything anymore.
4p(1-2p) and you are finished sense you can not factor anything anymore.
for example: 24x^2-54 (GCF is 6)
6(4x^2-9) (now check if it is a different of squares) Yes it is
6(2x+3)(2x-3) (finished)
2. Look at number of terms
- 4 terms - factor by grouping
- 3 terms - foil or ac method or be product/sum
- 2 terms - look for a difference of squares
3. Factor completely!
I hope it helped that I explained how and why this is your solution.
-
You gotta factor. 1.) 9z(z-2z^2)
2.) 4p(1-2p)
2.) 4p(1-2p)
-
You can pull a 9z² out of the first one to get 9z²(1 - 2z)
You can pull a 4p out of the second one 4p(1 - 2p)
You can pull a 4p out of the second one 4p(1 - 2p)