Find two real numbers b such that the expression $x ^ { 2 } + b x + 196$ is a perfect square trinomial.
A) $\pm 14$
B) $\pm 15$
C) $\pm 42$
D) $\pm 196$
E) $\pm 28$

Name: Find two real numbers b such that the expression $x ^ { 2 } + b x + 196$ is a perfect square trinomial. A) $\pm 14$ B) $\pm 15$ C) $\pm 42$ D) $\pm 196$ E) $\pm 28$
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Question

Quizplus · Accepted Answer

A perfect square trinomial takes the form $(x + a)^2 = x^2 + 2ax + a^2$. Here, $a^2 = 196$, so $a = \pm 14$. Therefore, $b = 2a = \pm 28$.

Find Two Real Numbers B Such That the Expression x2+bx+196x ^ { 2 } + b x + 196x2+bx+196

Find Two Real Numbers B Such That the Expression $x ^ { 2 } + b x + 196$