Factor Quadratic

Question

4x^2-5x-6

 

What is the factor for this?

Answer 1

4x²-5x-6

4*6=2*2*2*3 and (2*2*2)-(3)=8-3=5, the coefficient of the middle term

4 has to be factored into 4*1, not 2*2 because 5 is odd

6 factors into 2*3

you have 4*1 and 2*3

4 will multiply the 2 and 1 will multiply the 3

(4x   )(x   2) so far

(4x   3)(x  2) so far

finally...

(4x+3)(x-2) is the answer