the diagram represents 6x² - 7x + 2 with a factor of 2x - 1. what is the other factor of 6x² - 7x + 2? 3x…

Explanation:

Step1: Use polynomial long - division or factor by grouping

We know that if (6x^{2}-7x + 2=(2x - 1)(ax + b)), then ((2x-1)(ax + b)=2ax^{2}+2bx-ax - b=2ax^{2}+(2b - a)x - b). Comparing the coefficients: For the coefficient of (x^{2}): (2a = 6), so (a = 3). For the constant term: (-b=2), so (b=- 2). We can also use the following method. We need to find two numbers that multiply to (6\times2 = 12) and add up to (-7). The numbers are (-3) and (-4). So (6x^{2}-7x + 2=6x^{2}-3x-4x + 2). Group the terms: ((6x^{2}-3x)-(4x - 2)=3x(2x - 1)-2(2x - 1)=(2x - 1)(3x - 2))

Answer:

A. (3x - 2)