In the table below, the mathematical steps to factorize the trinomial has been provided. Provide an explanation for each step.

Here are the completed steps for 3.4.2:

3.4.2
Here are the explanations for the mathematical steps to factorize $3x^3 - 3x^2 - 90x$:

Step	Mathematical steps	Explanation
	Factorize $3x^3 - 3x^2 - 90x$
1	$3(x^3 - x^2 - 30x)$	Factor out 3 which is common.
2	$3x(x^2 - x - 30)$	Factor out $x$ which is common from the terms inside the parenthesis.
7	$3x(x - 6)(x + 5)$	Factor the quadratic trinomial $x^2 - x - 30$ into two binomials.