AnswersFL-1200700-Mathematics for College Algebra MISFactoring Trinomials: a > 1 — Unit testQuestion 23
23
QuizMultiple Choice

Factoring Trinomials: a > 1 — Unit test

Question 23 • FL-1200700-Mathematics for College Algebra MIS

The polynomial 2x3 − 5x2 + 4x − 10 is split into two groups, 2x3 + 4x and −5x2 − 10. The GCFs of each group is then factored out. What is the common binomial factor between the two groups after their GCFs have been factored out?

Answer
A
2x + 5
B
2x − 5
C
x2 − 2
D
x2 + 2

Explanation

Factor the GCF from each group: 2x³ + 4x = 2x(x² + 2), and −5x² − 10 = −5(x² + 2). Both groups contain the common binomial x² + 2, so the correct choice is x² + 2.

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