Question

Factor the polynomial below, if possible6m² + 7m - 3A primeO B. (3m – 1) (2m +3)o C. (6m – 1) (m+3)D. (3m + 1) (2m – 3)

Answer 1

Answer: We have to factor the polynomial provided:

`6x^2+7m-3\rightarrow(0)`

The steps for factoring the polynomial (0) are as follows:

`\begin{gathered} 6x^2+7m-3=\left(6x^2-2x\right)+\left(9x-3\right) \\ \\ \\ \left(6x^2-2x\right)+\left(9x-3\right)=2x(3x-1)+3(3x-1) \\ \\ \\ 2x(3x-1)+3(3x-1)=(3x-1)(2x+3) \\ \\ \therefore\rightarrow \\ \\ 6x^2+7m-3=(3x-1)(2x+3)\rightarrow(1) \end{gathered}`

Therefore (1) is th final answer.