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3 years ago

Factor the expression. 6x^2 + 31x + 28

Mathematics

1 answer:

ale4655 [162]3 years ago

6 0

Answer:

(6 x + 7) (x + 4) thus A:

Step-by-step explanation:

Factor the following:

6 x^2 + 31 x + 28

Factor the quadratic 6 x^2 + 31 x + 28. The coefficient of x^2 is 6 and the constant term is 28. The product of 6 and 28 is 168. The factors of 168 which sum to 31 are 7 and 24. So 6 x^2 + 31 x + 28 = 6 x^2 + 24 x + 7 x + 28 = 4 (6 x + 7) + x (6 x + 7):

4 (6 x + 7) + x (6 x + 7)

Factor 6 x + 7 from 4 (6 x + 7) + x (6 x + 7):

Answer: (6 x + 7) (x + 4)

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