Factor completely. -2x^(4)-20x^(3)-18x^(2) Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the polynomial -2x^(4)-20x^(3)-18x^(2). The GCF is -2x^(2), since each term contains at least an x^(2) and is divisible by -2.Factor out GCF: Factor out the GCF from each term in the polynomial. -2x^(4)-20x^(3)-18x^(2) = -2x^(2)(x^(2)+10x+9)Factor quadratic expression: Now, factor the quadratic expression inside the parentheses. The quadratic x^(2)+10x+9 can be factored into (x+1)(x+9), since 1 and 9 are factors of 9 that add up to 10.Combine for final form: Combine the GCF with the factored quadratic expression to get the final factored form. -2x^(2)(x^(2)+10x+9) = -2x^(2)(x+1)(x+9)

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Factor completely.

-2x^(4)-20x^(3)-18x^(2)
Answer:

Factor completely. $\newline$ $-2 x^{4}-20 x^{3}-18 x^{2}$ $\newline$ Answer:

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Q. Factor completely.

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-2 x^{4}-20 x^{3}-18 x^{2}

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Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the polynomial $-2x^{4}-20x^{3}-18x^{2}$ . The GCF is $-2x^{2}$ , since each term contains at least an $x^{2}$ and is divisible by $-2$ .
Factor out GCF: Factor out the GCF from each term in the polynomial. $\newline$ $-2x^{4}-20x^{3}-18x^{2} = -2x^{2}(x^{2}+10x+9)$
Factor quadratic expression: Now, factor the quadratic expression inside the parentheses. $\newline$ The quadratic $x^{2}+10x+9$ can be factored into $(x+1)(x+9)$ , since $1$ and $9$ are factors of $9$ that add up to $10$ .
Combine for final form: Combine the GCF with the factored quadratic expression to get the final factored form. $\newline$ $-2x^{2}(x^{2}+10x+9) = -2x^{2}(x+1)(x+9)$