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What is 2x squared plus 9x -35 factored

1 Answer

1 vote

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)

User Mustafa Magdy
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