Factor the following expression completely. x^(4)+3x^(3)+2x^(2)-16x^(2)-48 x-32 Answer:

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Factor the following expression completely.  x^(4)+3x^(3)+2x^(2)-16x^(2)-48 x-32 Answer:

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Group Terms Together: Group similar terms together to make factoring easier. We can group the terms as follows: (x^4 + 3x^3 + 2x^2) - (16x^2 + 48x + 32).Factor Out Common Factors: Factor out the greatest common factor from each group. In the first group, x^2 is the greatest common factor, and in the second group, 16 is the greatest common factor. So we get: x^2(x^2 + 3x + 2) - 16(x^2 + 3x + 2).Recognize Same Quadratic Expressions: Notice that the quadratic expressions in both groups are the same. Since both groups contain the same quadratic expression (x^2 + 3x + 2), we can factor it out: (x^2 - 16)(x^2 + 3x + 2).Factor Difference of Squares: Factor the difference of squares in the first term. The expression x^2 - 16 is a difference of squares and can be factored as (x + 4)(x - 4).Factor Quadratic Expression: Factor the quadratic expression in the second term. The quadratic expression x^2 + 3x + 2 can be factored into (x + 1)(x + 2) because 1 and 2 are the numbers that add up to 3 (the coefficient of x) and multiply to 2 (the constant term).Write Fully Factored Expression: Write the fully factored expression. Combining the factors from steps 4 and 5, we get the final factored expression: (x + 4)(x - 4)(x + 1)(x + 2).

Factor the following expression completely. $\newline$ $x^{4}+3 x^{3}+2 x^{2}-16 x^{2}-48 x-32$ $\newline$ Answer:

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Factor the following expression completely.\newlinex4+3x3+2x2−16x2−48x−32 x^{4}+3 x^{3}+2 x^{2}-16 x^{2}-48 x-32 x4+3x3+2x2−16x2−48x−32\newlineAnswer:

Factor the following expression completely. $\newline$ $x^{4}+3 x^{3}+2 x^{2}-16 x^{2}-48 x-32$ $\newline$ Answer: