Factor the quadratic: $$ 3 x^{2}+13 x+4 $$ Type a response

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Factor the expression $$ 3x^2+13x+4 $$.
Factor the expression by following steps:
- step0: Factor:
  $$3x^{2}+13x+4$$
- step1: Rewrite the expression:
  $$3x^{2}+\left(1+12\right)x+4$$
- step2: Rewrite the expression:
  $$3x^{2}+x+12x+4$$
- step3: Factor the expression:
  $$x\left(3x+1\right)+4\left(3x+1\right)$$
- step4: Factor the expression:
  $$\left(x+4\right)\left(3x+1\right)$$
The factored form of the quadratic expression $$3x^{2}+13x+4$$ is $$(x+4)(3x+1)$$.
The factored form is $$(x+4)(3x+1)$$.

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