Answer:
(2 x - 5) (x + 7)
Explanation:
Factor the following:
2 x^2 + 9 x - 35
Factor the quadratic 2 x^2 + 9 x - 35. The coefficient of x^2 is 2 and the constant term is -35. The product of 2 and -35 is -70. The factors of -70 which sum to 9 are -5 and 14. So 2 x^2 + 9 x - 35 = 2 x^2 + 14 x - 5 x - 35 = 7 (2 x - 5) + x (2 x - 5):
7 (2 x - 5) + x (2 x - 5)
Factor 2 x - 5 from 7 (2 x - 5) + x (2 x - 5):
Answer: (2 x - 5) (x + 7)