AnswersCMS 2026-2027 NC Math 1 CREDIT RECOVERYPolynomial Expressions — TestQuestion 20
20
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Polynomial Expressions — Test

Question 20 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

What is the difference of the polynomials? open paren 8 r to the 6th power s cubed minus 9 r to the 5th power s to the 4th power plus 3 r to the 4th power s to the 5th power close paren minus open paren 2 r to the 4th power s to the 5th power minus 5 r cubed s to the 6th power minus 4 r to the 5th power s to the 4th power close paren

Answer
A
8 r to the 6th power s cubed minus 5 r to the 5th power s to the 4th power plus r to the 4th power s to the 5th power plus 5 r cubed s to the 6th power
B
6 r to the 6th power s cubed minus 4 r to the 5th power s to the 4th power plus 7 r to the 4th power s to the 5th power
C
6 r to the 6th power s cubed minus 13 r to the 5th power s to the 4th power minus r to the 4th power s to the 5th power
D
8 r to the 6th power s cubed minus 13 r to the 5th power s to the 4th power plus r to the 4th power s to the 5th power minus 5 r cubed s to the 6th power

Explanation

Distribute the subtraction sign across the second polynomial, changing each of its signs: subtracting (2r⁴s⁵ − 5r³s⁶ − 4r⁵s⁴) gives −2r⁴s⁵ + 5r³s⁶ + 4r⁵s⁴. Combine like terms: −9r⁵s⁴ + 4r⁵s⁴ = −5r⁵s⁴, and 3r⁴s⁵ − 2r⁴s⁵ = r⁴s⁵. The result is 8r⁶s³ − 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶, choice B.

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