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Given $P(x)=x^{3}+2 x^{2}+4 x+8$. Write $P$ in factored form (as a product of linear factors). Be sure to write the full equation, including $P(x)=$.

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Final Answer: $P(x) = \boxed{(x + 2)(x - 2i)(x + 2i)}$

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Step 1 ：The given polynomial is a cubic polynomial. To factorize it, we need to find its roots. The roots of the polynomial are the values of x for which P(x) = 0. Once we find the roots, we can write the polynomial as a product of linear factors.

Step 2 ：The roots of the polynomial are -2, -2i, and 2i.

Step 3 ：Therefore, the factored form of the polynomial is $(x + 2)(x - 2i)(x + 2i)$.

Step 4 ：Final Answer: $P(x) = \boxed{(x + 2)(x - 2i)(x + 2i)}$

Next question You can retry this question belowGiven $P(x)=x^{3}+2 x^{2}+4 x+8$. Write $P$ in factored form (as a product of linear factors). Be sure to write the full equation, including $P(x)=$.

Answer

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Next question You can retry this question below
Given $P(x)=x^{3}+2 x^{2}+4 x+8$. Write $P$ in factored form (as a product of linear factors). Be sure to write the full equation, including $P(x)=$.