Question

*Is (2x - 3), a factor of polynomial "6x² - 7x - 3"?* 1️⃣ Yes 2️⃣ No 3️⃣ None of these​

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{6x^2-7x-3}$

$\underline{\textbf{To find:}}$

$\mathsf{whether\;(2x-3)\;is\;a\;factor\;of}$

$\mathsf{6x^2-7x-3}$

$\underline{\textbf{Solution:}}$

$\mathsf{Consider,}$

$\mathsf{6x^2-7x-3}$

$\textsf{This can be written as}$

$\mathsf{=6x^2-9x+2x-3}$

$\mathsf{=3x(2x-3)+1(2x-3)}$

$\mathsf{=(3x+1)(2x-3)}$

$\implies\mathsf{6x^2-7x-3=(3x+1)(2x-3)}$

$\therefore\textsf{(2x-3) is a factor of}\;\mathsf{6x^2-7x-3}$

$\underline{\textbf{Find more:}}$

Verify whether (x + 1), (x – 2) and (x + 3) are the factors of the polynomial x3 + 2x2– 5x – 6 without actual division. with the explanation

https://brainly.in/question/41124775