Question

home > math 124e-spring2026-friedrich > ass
hw sec. cr.7
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question 1
factor the polynomial completely.
$x^{2}+10x+25=$
question help: video ebook

Explanation:

Step1: Identify perfect square trinomial

Check if $x^2 + 10x + 25$ matches $a^2+2ab+b^2$, where $a=x$, $2ab=10x$, $b^2=25$.

Step2: Find $a$ and $b$

$a=x$, $b=5$ (since $2(x)(5)=10x$, $5^2=25$).

Step3: Apply perfect square formula

Use $a^2+2ab+b^2=(a+b)^2$.
<expression>$(x+5)^2$</expression>

Answer:

$(x+5)^2$