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

Rearrange terms in descending order: First, we should rearrange the terms in descending order of the powers of x to make it easier to factor. x^4 + 3x^3 - 16x^2 + 2x^2 - 48x - 32 Combine like terms. x^4 + 3x^3 - 14x^2 - 48x - 32Combine like terms: Next, we look for common factors in groups of terms. We can group the first three terms and the last three terms separately. (x^4 + 3x^3 - 14x^2) - (48x + 32)Group terms and find common factors: Now, factor by grouping. x^2(x^2 + 3x - 14) - 16(3x + 2)Factor by grouping: We can factor the quadratic x^2 + 3x - 14. x^2(x - 2)(x + 7) - 16(3x + 2)Factor quadratic expression: Now, we look for any common factors that can be factored out further, but there are none. So, the expression is completely factored.

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Factor the following expression completely.

x^(4)-16x^(2)+3x^(3)-48 x+2x^(2)-32
Answer:

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

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Q. Factor the following expression completely.

\newline

x^{4}-16 x^{2}+3 x^{3}-48 x+2 x^{2}-32

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Answer:

Rearrange terms in descending order: First, we should rearrange the terms in descending order of the powers of $x$ to make it easier to factor. $x^4 + 3x^3 - 16x^2 + 2x^2 - 48x - 32$ Combine like terms. $x^4 + 3x^3 - 14x^2 - 48x - 32$
Combine like terms: Next, we look for common factors in groups of terms. We can group the first three terms and the last three terms separately. $x^4 + 3x^3 - 14x^2$ - $48x + 32$
Group terms and find common factors: Now, factor by grouping. $x^2(x^2 + 3x - 14) - 16(3x + 2)$
Factor by grouping: We can factor the quadratic $x^2 + 3x - 14$ . $\newline$ $x^2(x - 2)(x + 7) - 16(3x + 2)$
Factor quadratic expression: Now, we look for any common factors that can be factored out further, but there are none. So, the expression is completely factored.