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Factor completely.

Ask by Owen Weston. in the United States
Mar 21,2025

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The expression factors to .

Solución

Factor the expression .
Factor the expression by following steps:
  • step0: Factor:
  • step1: Factor the expression:

    The factored form of the expression is .

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The Deep Dive

To factor the expression , you can start by factoring out the greatest common factor (GCF) of all the coefficients, which is 2:
Next, let’s focus on factoring the quadratic . We can use the quadratic formula to find the roots, or we can look for two numbers that multiply to and add to .
Upon checking, we can rewrite as:
.
Putting it all together, the completely factored form is:
.
So the final factored expression is:
.

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