Factor 5x2 + 10x + 2x + 4

Mathematics

1 answer:

Genrish500 [490]3 years ago

5 0

Answer:

(5 x + 2) (x + 2)

Step-by-step explanation:

Factor the following:

5 x^2 + 10 x + 2 x + 4

10 x + 2 x = 12 x:

5 x^2 + 12 x + 4

Factor the quadratic 5 x^2 + 12 x + 4. The coefficient of x^2 is 5 and the constant term is 4. The product of 5 and 4 is 20. The factors of 20 which sum to 12 are 2 and 10. So 5 x^2 + 12 x + 4 = 5 x^2 + 10 x + 2 x + 4 = 2 (5 x + 2) + x (5 x + 2):

2 (5 x + 2) + x (5 x + 2)

Factor 5 x + 2 from 2 (5 x + 2) + x (5 x + 2):

Answer: (5 x + 2) (x + 2)

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