Posted by **Mallory** on Wednesday, February 29, 2012 at 8:04am.

Can someone please tell me Why is (4x + 5) (2x - 1) + (x - 9) (2x - 1) not in factored form? What is the correct final factored form? What is this factoring method called?

- Math -
**MathMate**, Wednesday, February 29, 2012 at 9:14am
If it is in factored form, it should have a common factor for the whole expression.

(4x+5) is not a factor for the whole expression, just the first term (before the + sign).

To factor "completely", we need to expand the expression, collect similar terms and factor from there.

(4x + 5) (2x - 1) + (x - 9) (2x - 1)

=8x²+6x-5 + 2x²-19x+9

=10x²-13x+4

=(5x-4)(2x-1)

- Math -
**Steve**, Wednesday, February 29, 2012 at 10:57am
Or, note that (2x-1) is a common factor, so if you factor it out, you get

(2x-1)(4x+5 + x-9) = (2x-1)(5x-4)

- Math -
**MathMate**, Wednesday, February 29, 2012 at 3:26pm
Thanks, Steve!

## Answer This Question

## Related Questions

- Math - Can someone please tell me Why is (4x + 5) (2x - 1) + (x - 9) (2x - 1) ...
- Mat 117 - •I am having trouble figuring out this question. Why is (3x + 5) (x - ...
- Algebra - F) Why is (3x + 5) (x - 2) + (2x - 3) (x - 2) not in factored form? ...
- Algebra 2 - Well I'm curently taking this class as a sophmore and have taken ...
- Integrated Math 1 - Consider y=x^2+8x+16. What is the correct way to factor this...
- alegebra - 1. What is the factored form of 4x 2 + 12x + 5? (1 point) (2x + 4)(2x...
- Math - This is the second part of a two part question for an online class. It ...
- Algebra - 1. a) write y=4x+8 in factored form 2. a) write y=-2x-6 in factored ...
- calculus--please help!! - find the complete zeros of the polynomial function. ...
- Algebra 2 - I am trying to factor a 4th degree polynomial that does not have any...

More Related Questions