Factor completely. 8x^(2)+112 x+392=

Find common factor: Look for a common factor in all terms. The terms 8x^2, 112x, and 392 all have a common factor of 8. Factor out the greatest common factor (GCF). 8(x^2 + 14x + 49)Factor out GCF: Factor the quadratic expression inside the parentheses. The quadratic expression x^2 + 14x + 49 is a perfect square trinomial because it can be written as (x + 7)^2. So, 8(x^2 + 14x + 49) = 8(x + 7)(x + 7) or 8(x + 7)^2

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Factor completely. $\newline$ $8x^{2}+112x+392=$

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Math Problems

Algebra 1

Factor quadratics: special cases

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Q. Factor completely.

\newline

8x^{2}+112x+392=

Find common factor: Look for a common factor in all terms. $\newline$ The terms $8x^2$ , $112x$ , and $392$ all have a common factor of $8$ . $\newline$ Factor out the greatest common factor (GCF). $\newline$ $8(x^2 + 14x + 49)$
Factor out GCF: Factor the quadratic expression inside the parentheses. $\newline$ The quadratic expression $x^2 + 14x + 49$ is a perfect square trinomial because it can be written as $(x + 7)^2$ . $\newline$ So, $8(x^2 + 14x + 49) = 8(x + 7)(x + 7)$ or $8(x + 7)^2$