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Factor x2+4x+3.

O A. (x-3)(x+1)
O B. (x-3)(x-1)
O C. (x+3)(x+1)
O D. (x+3)(x-1)
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1 Answer

5 votes

Answer:

c. (x +3)(x + 1)

Explanation:

Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,


x^2 +4x +3

Can be represented as the product of the following,


(x+3)(x+1)

To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,


(x+3)(x+1)\\

Distribute,


(x)(x)+(1)(x)+(3)(x)+(3)(1)

Simplify,


x^2 +x +3x + 3\\


x^2 +4x +3

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