QuestionJuly 18, 2025

Which of the following is a factor of 6x^2-x-1 (a) 2x+1 (b) 6x-1 (c) 6x+1 (d) 2x-1 (e) 3x-1

Which of the following is a factor of 6x^2-x-1 (a) 2x+1 (b) 6x-1 (c) 6x+1 (d) 2x-1 (e) 3x-1
Which of the following is a factor of
6x^2-x-1
(a) 2x+1
(b) 6x-1
(c) 6x+1
(d) 2x-1
(e) 3x-1

Solution
4.6(157 votes)

Answer

(d) 2x-1 Explanation 1. Factor the quadratic expression Use the method of trial and error or factor by grouping. The expression 6x^2 - x - 1 can be factored as (3x + 1)(2x - 1). 2. Identify the factors Compare the factors obtained with the given options. The factors are 3x + 1 and 2x - 1.

Explanation

1. Factor the quadratic expression<br /> Use the method of trial and error or factor by grouping. The expression $6x^2 - x - 1$ can be factored as $(3x + 1)(2x - 1)$.<br /><br />2. Identify the factors<br /> Compare the factors obtained with the given options. The factors are $3x + 1$ and $2x - 1$.
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