19
QuizMultiple Choice

Factoring Trinomials: a > 1 — Unit test

Question 19 • FL-1200700-Mathematics for College Algebra MIS

The expression 40x2 – 65x + 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
2x2(20 – 32x + 25x2)
B
2(8x2 – 13x +10)
C
5x2(8x2 – 13x + 10)
D
5(3x2 – 8x + 5)

Explanation

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

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