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Factor the following binomial completely.

49x^(2)+36
Select the correct choice below and, if necessary, fill in the answer box to complete your ch
A.
49x^(2)+36=
◻
B.
49x^(2)+36 is prime.

Factor the following binomial completely. $\newline$ $49 x^{2}+36$ $\newline$ Select the correct choice below and, if necessary, fill in the answer box to complete your ch $\newline$ A. $49 x^{2}+36=$ $\square$ $\newline$ B. $49 x^{2}+36$ is prime.

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Full solution

Q. Factor the following binomial completely.

\newline

49 x^{2}+36

\newline

Select the correct choice below and, if necessary, fill in the answer box to complete your ch

\newline

A.

49 x^{2}+36=

\square

\newline

B.

49 x^{2}+36

is prime.

Recognize as sum of squares: Recognize the binomial as a sum of squares. $49x^{2} + 36 = (7x)^{2} + 6^{2}$
Check for factorization: Check if the binomial is a sum of squares that can be factored. $\newline$ Sum of squares cannot be factored over the real numbers.
Conclude binomial is prime: Conclude that the binomial is prime since it cannot be factored. $49x^{2} + 36$ is prime.

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