5
QuizMultiple Choice

Factoring Trinomials: a = 1 (Continued) — Quiz

Question 5 • Algebra I

Which shows the four-term polynomial and factored form of x squared plus 6 x minus 27 ?

Answer
A
x squared plus 3 x minus 9 x minus 27 is equal to open paren x plus 3 close paren times open paren x minus 9 close paren
B
x squared plus 9 x minus 3 x minus 27 is equal to open paren x plus 9 close paren times open paren x minus 3 close paren
C
x squared plus 6 x minus 3 x minus 27 is equal to open paren x plus 6 close paren times open paren x minus 3 close paren
D
x squared plus 3 x minus 6 x minus 27 is equal to open paren x plus 3 close paren times open paren x minus 6 close paren

Explanation

To factor x² + 6x − 27 by splitting the middle term, find two numbers whose product is −27 and whose sum is 6. Those numbers are 9 and −3, so rewrite the polynomial as x² + 9x − 3x − 27. Grouping gives x(x + 9) − 3(x + 9) = (x + 9)(x − 3), which is choice B.

AI-written and checked against the verified answer.

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