15
AssignmentMultiple Select

Factoring Trinomials: a > 1

Question 15 • FL-1200700-Mathematics for College Algebra MIS

Complete the factorization of 3x2 – 5x + 2.Which two factors can be multiplied together to make this trinomial?(x – 2)(x – 1)(x + 1)(3x – 2)(3x + 2)

Answer
A
(x – 2)
B
(x – 1)
C
(x + 1)
D
(3x – 2)
E
(3x + 2)

Explanation

To factor 3x² − 5x + 2, find two numbers whose product is 3 × 2 = 6 and whose sum is −5: −3 and −2. Rewrite the middle term as −3x − 2x, then factor by grouping: 3x² − 3x − 2x + 2 = 3x(x − 1) − 2(x − 1) = (3x − 2)(x − 1). The factors are (x − 1) and (3x − 2).

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