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JulijaS [17]
3 years ago
9

Factor the polynomial 4x^2 + 12 + 9

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
7 0

Answer:

The answer is (2x+3)^2.

Step-by-step explanation:

Multiply the coefficient of the squared term and the constant. Then, find the factors that add up to 12:

4*9=36\\36:\{1*36,2*18,3*12,4*9,6*6\}\\6+6=12

Split the middle term:

4x^2+6x+6x+9

Factor by grouping:

[4x^2+6x]+[6x+9]\\2x(2x+3)+3(2x+3)\\(2x+3)(2x+3)\\(2x+3)^2

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