Question

3x to the power of 3 + 21x squared + 36x = 0 by factoring the quadratic equation.

Answer 1

x = 0, -4 and -3.

Explanation:

The given expression is "3x to the power of 3 + 21x squared + 36x = 0".

We can write this expression as follows :

`3x^3+21x^2+36x=0`

Taking 3x common.

`3x(x^2+7x+12)=0\\\\3x=0\ \text{and}\ (x^2+7x+12)=0`

x = 3

`x^2+7x+12=0\\\\x^2+3x+4x+12=0\\\\x(x+3)+4(x+3)=0\\\\(x+4)(x+3)=0\\\\x=-4,-3`

Hence, the solution of the given quadratic equation are x = 0, -4 and -3.