Factor completely.
-$$49 x ^ { 2 } + 70 x + 25$$
A) Prime
B) $( 7 x + 5 ) ^ { 2 }$
C) $( 7 x + 5 ) ( 7 x - 5 )$
D) $( 7 x - 5 ) ^ { 2 }$

Name: Factor completely. -\[49 x ^ { 2 } + 70 x + 25\] A) Prime B) $( 7 x + 5 ) ^ { 2 }$ C) $( 7 x + 5 ) ( 7 x - 5 )$ D) $( 7 x - 5 ) ^ { 2 }$
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Question

Quizplus · Accepted Answer

This is a perfect square trinomial in the form of $(ax+b)^2$. We can see that $a^2=49$, $2ab=70$, and $b^2=25$. Solving for $a$ and $b$, we get $a=7$ and $b=5$. Therefore, the factorization is $(7x+5)^2$.

Factor Completely 49x2+70x+2549 x ^ { 2 } + 70 x + 2549x2+70x+25

Factor Completely $49 x ^ { 2 } + 70 x + 25$