Answer: The required factored form of the given expression is \(4x(2x+3).\)
Step-by-step explanation: We are given to find the factored form of the following quadratic expression :
\(E=8x^2+12x~~~~~~~~~~~~~~~~~~~~~~~~~(i)\)
Since the given quadratic expression does not contain the constant term, so first we should take common the x-term and then factorize.
From equation (i), we have
\(E\\\\=8x^2+12x\\\\=4x(2x+3).\)
Thus, the required factored form of the given expression is \(4x(2x+3).\)
