Factor the following perfect square trinomial. $$49 x ^ { 2 } + 14 x + 1$$
A) $( 7 x + 14 ) ^ { 2 }$
B) $( x + 7 ) ^ { 2 }$
C) $( 7 x - 1 ) ^ { 2 }$
D) $( x - 7 ) ^ { 2 }$
E) $( 7 x + 1 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The correct factorization of $49x^2 + 14x + 1$ is $(7x + 1)^2$ because the square root of $49x^2$ is $7x$ and the square root of $1$ is $1$, and twice their product gives the middle term $14x$.

Factor the Following Perfect Square Trinomial 49x2+14x+149 x ^ { 2 } + 14 x + 149x2+14x+1

Factor the Following Perfect Square Trinomial $49 x ^ { 2 } + 14 x + 1$