6p^2 -5p -6

Hi Paula,

6p²-5p-6 = 6p²-9p+4p-6

=3p(2p-3)+2(2p-3)

=(3p+2)(2p-3)

The solutions are

3p+2=0

p=-2/3

2p-3=0

p=3/2

6p^2 -5p -6

Tutors, please sign in to answer this question.

Stamford, CT

Hi Paula,

6p²-5p-6 = 6p²-9p+4p-6

=3p(2p-3)+2(2p-3)

=(3p+2)(2p-3)

The solutions are

3p+2=0

p=-2/3

2p-3=0

p=3/2

Chino Hills, CA

by finding D = b^2-4*a*c , you can check whether the above equation is easily factorable.

D=169, which is a perfect square, which means a factor able equation

Using a quadratic equation, you can easily find out p = 18/12 or p=-8/12. Therefore,

6p^2-5p-6=(2p-3)(3p+2)

Dana R.

English/Math SAT PrepTutor with PhD

Lynbrook, NY

4.8
(84 ratings)

Irene P.

Enthusiastic astronomy, physics, math tutor

Brooklyn, NY

4.8
(41 ratings)

John E.

Physics and Math tutor - Masters from Cornell and Columbia University

New York, NY

4.8
(125 ratings)

- Algebra 4059
- Algebra 1 3244
- Math 7243
- Factoring Polynomials 95
- Algebra 2 2860
- Factorization 21
- Factoring By Grouping 19
- Math Help 4189
- Quadratic Equations 412
- Polynomials 267

## Comments