Factor 4x^3 + 40x^2 + 100x

Question

Mathematics

Alexis Roth

15 February, 00:39

Factor 4x^3 + 40x^2 + 100x

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Answers (1)

Know the Answer?

Maximo Mccoy · Answer 1

4 x (x + 5) ^2

Step-by-step explanation:

Factor the following:

4 x^3 + 40 x^2 + 100 x

Factor 4 x out of 4 x^3 + 40 x^2 + 100 x:

4 x (x^2 + 10 x + 25)

The factors of 25 that sum to 10 are 5 and 5. So, x^2 + 10 x + 25 = (x + 5) (x + 5):

4 x (x + 5) (x + 5)

(x + 5) (x + 5) = (x + 5) ^2:

Answer: 4 x (x + 5) ^2