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3 votes
Factor completely 9x2 + 42x + 49.

(3x + 7)(3x − 7)
(9x − 7)(9x − 7)
(3x + 7)(3x + 7)
(9x + 7)(9x + 7)

User Jcopenha
by
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1 Answer

4 votes
First step: We have changed x2 to x^2

Second step: 3x^2 x ^2 + 49

Third step: now lets factor out 9x^2 + 42 + 49
We have to list all of the factors but we will get to those later

Fourth step: you have to rewrite the polynomial by splitting the middle part term from using the 2 factors which was found in the factoring.

(9x^2 + 21x) + 21x + 41

Fifth step: We have to add up your first-two terms by pulling those factors we have been working with. 7(3x+ 7)

Sixth Step: try adding up the 4 terms. Thid id what I mean, ➡ 3x + 7 (3x + 7).

Seventh Step: we finally get your result for this equation

Answer: (3x +7)^2

From the looks of it option C. (3x + 7) (3x + 7) would be your answer

Good luck
User GoojajiGreg
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5.8k points