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Which of the following represents the factorization of the trinomial below?

x2 - 14x + 49
O A. (x-7)
O B. (x-7)(x+7)
O C. (x+7)
O D. (x+2)(x+7)
ANSWER ASAP!!

2 Answers

2 votes
the answer should be B!
User Shterna
by
3.8k points
5 votes


\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( {x - 7})^(2) }}}}}}


\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}


{x}^(2) - 14x + 49


= {x}^(2) - 7x - 7x + 49

Taking "
x" as common from first two terms and "7" from last two terms, we have


= x \: ( \: x - 7 \: ) - 7 \: ( \: x - 7 \: )

Taking the factor
(x-7) as common,


= ( \: x - 7\:) \: (\: x - 7\: )


=( {x - 7})^(2)


\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}

User Herr Student
by
4.6k points