9
lesson pretestMultiple Choice

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Question 9 • Algebra 1

Ms. Wilson draws a model of the factorization of a polynomial with integer factors. Her model is partially complete. n n squared 5 5 n 40 Which equation is represented by Ms. Wilson’s model?

Answer
A
n squared plus 3 n plus 40 is equal to open paren n minus 8 close paren times open paren n minus 5 close paren
B
n squared plus 40 n plus 13 is equal to open paren n plus 8 close paren times open paren n plus 5 close paren
C
n squared plus 40 n plus 3 is equal to open paren n minus 8 close paren times open paren n minus 5 close paren
D
n squared plus 13 n plus 40 is equal to open paren n plus 8 close paren times open paren n plus 5 close paren

Explanation

The model’s factors include 5 and 8, whose product is 40. With the variable term n in each factor, the factors are (n + 5)(n + 8). Multiplying gives n² + 8n + 5n + 40 = n² + 13n + 40, so the represented equation is the one with n² + 13n + 40.

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