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score: 4/12 penalty: none question factor. $x^2 + 10x + 16$

Question

score: 4/12 penalty: none
question
factor.
$x^2 + 10x + 16$

Explanation:

Step1: Find pair summing to 10, product 16

Identify two numbers: 2 and 8, since $2+8=10$ and $2\times8=16$.

Step2: Split middle term and factor

Rewrite and factor by grouping:
$$x^2 + 2x + 8x + 16$$
$$=x(x+2)+8(x+2)$$
$$=(x+2)(x+8)$$

Answer:

$(x+2)(x+8)$