Question

Factorize 6x(​SQUARE)-3-7x
3x(square)-x-4​

Answer 1

Answer:

Step-by-step explanation:

6x^2-3-7x

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

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

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

Answer 2

$\mathfrak{Step-by-step\:Explanation:}$

$\underline{\bold{Question\;no.1}}\\\\\\\bold{\:6x^2-7x-3}\\\\\bold{=6x^2-(9-2)x-3}\\\\\bold{=6x^2-9x+2x-3}\\\\\bold{=3x(2x-3)+1(2x-3)}\\\\\bold{=(2x-3)(3x+1)}\\\\\\\\\underline{\bold{Question\:no.2}}\\\\\\\bold{3x^2-x-4}\\\\\bold{=3x^2-(4-3)x-4}\\\\\bold{=3x^2-4x+3x-4}\\\\\bold{=x(3x-4)+1(3x-4)}\\\\\bold{=(3x-4)(x+1).}$

Extra info :

• Quadratic equation :

A polynomial of second degree in one variable is termed as a quadratic equation.

Solutions or roots of a quadratic equation :

• The value of x for which the equation ax² + bx + c = 0 is satisfied.
• A quadratic equation can't have more than two roots.