Algebra help?

Question

need to factor this polynominal if factoring is possible, I need to show the results of factoring out of GCF before taking the resulting polynomial and factoring it again, could you please help and put it into english for me thanks a bunch. 4x^2 ++ 44x + 96

Answer 1

4x² + 44x + 96 = 0

Divide the equation by 4

4(x² + 11x + 24) = 0

The middle term inside the parenthesis is + 11x

find the sum of the middle term

First term x² = 1

Multiply the first term 1 times the last term 24 equals 24 and factor

factors of 24
1 x 24
2 x 12
3 x 8. . .<=..Use these factors
4 x 6

+ 8 and + 3 satisfy the sum of the middle term

insert + 8x and + 3x into the equation

4(x² + 11x + 24) = 0

Group factor

4(x² + 8x + 3x = 24) = 0

4[x(x + 8) + 3(x + 8)]

4(x + 3)(x + 4)

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Roots

4 = 0

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Roots

x + 3 = 0

x + 3 - 3 = 0 - 3

x = - 3

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Roots

x + 8 = 0

x + 8 - 8 = 0 - 8

x = - 8

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Answer 2

you can factor out 4. that gives you x^2+11x+24
you can factor 4(x+3)(x+8)