Addition and Subtraction of Polynomials — Quiz

Question 18 • Algebra II

Which expression can be used to find the difference of the polynomials? open paren 10 m minus 6 close paren minus open paren 7 m minus 4 close paren

Answer

open bracket open paren negative 10 m close paren plus open paren negative 7 m close paren close bracket plus open paren 6 plus 4 close paren

open bracket 10 m plus open paren negative 7 m close paren close bracket plus open bracket 6 plus negative 4 close bracket

open paren 10 m plus 7 m close paren plus open bracket negative 6 plus negative 4 close bracket

open bracket 10 m plus open paren negative 7 m close paren close bracket plus open bracket negative 6 plus 4 close bracket

Explanation

Subtracting the second polynomial means changing the sign of each term inside its parentheses: (10m − 6) − (7m − 4) = 10m − 6 − 7m + 4. Grouping the variable terms and constants gives [10m + (−7m)] + [−6 + 4], which is choice A.

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