Question

Factor: 4x^2+48
a. 4(x+3)^2
b. 4(x+3)(x+4)
c. 4(x+4)^2
d. 4(x^2+12)
e. 4(x+3)(x-4)

Answer 1

what is the GCF of 4 and 48

Answer 2

doesn't say

Answer 3

what factors do they share in common

Answer 4

12, 2, 4...

Answer 5

12 is not a factor of 4

Answer 6

factors of 4: 1, 2, 4

factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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Common factors: 1, 2, 4

Notice how 4 is the largest factor, so the GCF of 4 and 48 is 4

Answer 7

so you factor out the GCF to get

4x^2 + 48

4(x^2 + 12)

Answer 8

oh okay thank you!

Answer 9

you're welcome