22
QuizMultiple Choice

Polynomial Expressions — Test

Question 22 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY

The expression 40 x squared minus 65 x plus 50 represents the sum of the interior angles of a regular pentagon in degrees. If the interior angles of the pentagon are equal, which expression represents the measure of two angles?

Answer
A
5 times open paren 3 x squared minus 8 x plus 5 close paren
B
5 x squared open paren 8 x squared minus 13 x plus 10 close paren
C
2 times open paren 8 x squared minus 13 x plus 10 close paren
D
2 x squared open paren 20 minus 32 x plus 25 x squared close paren

Explanation

A pentagon has 5 equal interior angles, so two angles measure 2/5 of the total. Calculate (2/5)(40x² − 65x + 50) = 16x² − 26x + 20, which factors as 2(8x² − 13x + 10). Thus, the expression is 2 times (8x² − 13x + 10), choice B.

AI-written and checked against the verified answer.

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