5
AssignmentMultiple Select

Factoring Trinomials: a > 1

Question 5 • 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?

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

Explanation

Factor 3x² − 5x + 2 by finding two numbers whose product is 3 × 2 = 6 and whose sum is −5: −3 and −2. Split the middle term: 3x² − 3x − 2x + 2 = 3x(x − 1) − 2(x − 1) = (x − 1)(3x − 2). The matching factors are (x − 1) and (3x − 2).

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