20
QuizMultiple Choice

Addition and Subtraction of Polynomials — Quiz

Question 20 • Algebra II

Which expression can be used to find the difference of the polynomials? open paren 4 m minus 5 close paren minus open paren 6 m minus 7 plus 2 n close paren

Answer
A
open paren 4 m minus 5 close paren plus open paren negative 6 m plus 7 minus 2 n close paren
B
open paren 4 m minus 5 close paren plus open paren negative 6 m plus 7 plus 2 n close paren
C
open paren 4 m minus 5 close paren plus open paren negative 6 m minus 7 minus 2 n close paren
D
open paren 4 m minus 5 close paren plus open paren 6 m plus 7 plus 2 n close paren

Explanation

Subtracting the second polynomial means changing the sign of each of its terms: −(6m − 7 + 2n) = −6m + 7 − 2n. So the difference can be written as (4m − 5) + (−6m + 7 − 2n), which is choice C.

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