how do you factor 3x^2+x-14
Factor the following:
3x^2+x-14
Factor the quadratic 3 x^2+x-14. The coefficient of x^2 is 3 and the constant term is -14. The product of 3 and -14 is -42. The factors of -42 which sum to 1 are -6 and 7. So 3 x^2+x-14 = 3 x^2+7 x-6 x-14 = 7 (x-2)+3 x (x-2):
7 (x-2)+3 x (x-2)
Factor x-2 from 7 (x-2)+3 x (x-2):
Answer: | (x - 2) (3x +7)
how do you factor 3x^2+x-14
Factor the following:
3x^2+x-14
Factor the quadratic 3 x^2+x-14. The coefficient of x^2 is 3 and the constant term is -14. The product of 3 and -14 is -42. The factors of -42 which sum to 1 are -6 and 7. So 3 x^2+x-14 = 3 x^2+7 x-6 x-14 = 7 (x-2)+3 x (x-2):
7 (x-2)+3 x (x-2)
Factor x-2 from 7 (x-2)+3 x (x-2):
Answer: | (x - 2) (3x +7)
