Question 10 Given $$ P(x)=x^{3}+4 x^{2}+4 x+16 $$. Write $$ P $$ in factored form (as a product of linear factors). Be sure to write the full equation, Including $$ P(x)= $$. Question Help: Video 1 Video 2 Message instructor Submit Question Jump to Answer

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Factor the expression by following steps:
- step0: Factor:
  $$x^{3}+4x^{2}+4x+16$$
- step1: Calculate:
  $$x^{3}+4x+4x^{2}+16$$
- step2: Rewrite the expression:
  $$x\times x^{2}+x\times 4+4x^{2}+4\times 4$$
- step3: Factor the expression:
  $$x\left(x^{2}+4\right)+4\left(x^{2}+4\right)$$
- step4: Factor the expression:
  $$\left(x+4\right)\left(x^{2}+4\right)$$
To express the polynomial $$ P(x) = x^{3} + 4x^{2} + 4x + 16 $$ in factored form, we can factor it as follows:

$$
P(x) = (x + 4)(x^{2} + 4)
$$

Thus, the factored form of the polynomial is:

$$
P(x) = (x + 4)(x^{2} + 4)
$$
$$ P(x) = (x + 4)(x^{2} + 4) $$

Question 10
Given . Write in factored form (as a product of linear
factors). Be sure to write the full equation, Including .
Question Help: Video 1 Video 2 Message instructor
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Question 10 Given . Write in factored form (as a product of linear factors). Be sure to write the full equation, Including . Question Help: Video 1 Video 2 Message instructor Submit Question Jump to Answer