8
lesson pretestMultiple Choice

Pretest

Question 8 • Algebra 1

Which expression is the factorization of x squared plus 10 x plus 21 ?

Answer
A
open paren x plus 4 close paren times open paren x plus 6 close paren
B
open paren x plus 3 close paren times open paren x plus 7 close paren
C
open paren x plus 6 close paren times open paren x plus 15 close paren
D
open paren x plus 7 close paren times open paren x plus 14 close paren

Explanation

To factor x² + 10x + 21, find two numbers whose product is 21 and whose sum is 10. The numbers 3 and 7 meet both conditions, so x² + 10x + 21 = (x + 3)(x + 7). The correct choice is (x + 3) times (x + 7).

AI-written and checked against the verified answer.

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