Question

Which is the completely factored form of 12x4 + 39x3 + 9x2?

Answer 1

Explanation

• Given expression

${12x}^{4} + {39x}^{3} + {9x}^{2}$

• Factor the expression by using common factor.

We csn pull out 3x² out of the expression.

${3x}^{2} (4 {x}^{2} + 13x + 3)$

We simply pull out the x-term with lowest degree and 3 out of the expression. If another expression cannot be factored after first factoring then that's the final answer.

• The expression can still be factored. Factor the expression by using two brackets.

${4x}^{2} + 13x + 3 \\ (4x + 1)(x + 3)$

• New factored form

$3 {x}^{2} (4x + 1)(x + 3)$

Answer

$\large \boxed { {3x}^{2} (4x + 1)(x + 3)}$