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mixas84 [53]
2 years ago
7

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

Mathematics
1 answer:
Troyanec [42]2 years ago
6 0
<h3><u>Explanation</u></h3>
  • 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)

<h3><u>Answer</u></h3>

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

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