Question

Which binomial is a factor of the polynomial? 6x2 - 7x - 3

a.(2x - 3)
b.(3x - 3)
c.(6x - 1)
d.(6x 3)

Answer 1

6x² - 7x - 3 = 0 (Hence, factor)
6x² - 9x + 2x - 3 = 0
3x(2x - 3) + (2x - 3) = 0
(3x + 1)(2x - 3) = 0

Hence, (a) is correct.

Answer 2

a.(2x - 3)

Explanation:

Let's factorize 6x^2 - 7x - 3

First add and substract 2x

6x^2 - 7x - 3 + 2x - 2x

6x^2 - 9x + 2x -3

Then, take 3x as a common factor between the first and second term

3x*(2x - 3) + (2x -3)

Finally, take (2x -3) as common factor

(2x -3)*(3x +1)

So, both(2x -3) and (3x +1) are factors of 6x^2 - 7x - 3