3
QuizMultiple Choice

Factoring Trinomials: a > 1

Question 3 • FL-1200330-Algebra 2 Sem 1 - Flex

Which expression is a factor of 10x2 + 11x + 3?

Answer
A
x − 3
B
2x + 1
C
5x − 3
D
10x + 3

Explanation

To factor 10x² + 11x + 3, find two numbers whose product is 10 × 3 = 30 and whose sum is 11: 5 and 6. Split the middle term: 10x² + 5x + 6x + 3 = 5x(2x + 1) + 3(2x + 1) = (5x + 3)(2x + 1). Therefore, 2x + 1 is a factor.

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