Question

Factor completely: 6x^2 + 11x - 10

Answer 1

Solutions

1) Factor 6x^2+11x−101. Multiply 6 by -10, which is -60.
2. Ask: Which two numbers add up to 11 and multiply to -60?
3. Answer: 15 and -4
4. Rewrite 11x as the sum of 15x and −4x:

6x^2+15x−4x−10

2) Factor out common terms in the first two terms, then in the last two terms

3x(2x+5)−2(2x+5)

3 ) Factor out the common term 2x+5

(2x+5)(3x−2)

Answer 2

6x^2+11x-10=0
6x^2+15x-4x-10=0
3x(2x+5)-2(2x+5)=0
(3x-2)(2x+5)=0
3x-2=0
3x=2
x=2/4
,,,,,,,,
2x+5=0
2x=-5
x=-5/2