What is 2x squared plus 9x - 35 factored

(2 x - 5) (x + 7)

Step-by-step 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)