Factor completely: 2x^(3)-12x^(2)+10 x Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the polynomial 2x^3 - 12x^2 + 10x. The GCF of 2x^3, 12x^2, and 10x is 2x, since 2x is the largest expression that divides each term evenly.Factor GCF: Factor out the GCF from each term in the polynomial. 2x^3 - 12x^2 + 10x = 2x(x^2 - 6x + 5)Factor Quadratic: Factor the quadratic expression x^2 - 6x + 5. We look for two numbers that multiply to 5 and add up to -6. These numbers are -1 and -5. x^2 - 6x + 5 = (x - 1)(x - 5)Combine Factors: Combine the GCF with the factored form of the quadratic expression to get the final factored form of the original polynomial. 2x^3 - 12x^2 + 10x = 2x(x - 1)(x - 5)

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Factor completely:

2x^(3)-12x^(2)+10 x
Answer:

Factor completely: $\newline$ $2 x^{3}-12 x^{2}+10 x$ $\newline$ Answer:

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Q. Factor completely:

\newline

2 x^{3}-12 x^{2}+10 x

\newline

Answer:

Identify GCF: Identify the greatest common factor (GCF) of the terms in the polynomial $2x^3 - 12x^2 + 10x$ . The GCF of $2x^3$ , $12x^2$ , and $10x$ is $2x$ , since $2x$ is the largest expression that divides each term evenly.
Factor GCF: Factor out the GCF from each term in the polynomial. $\newline$ $2x^3 - 12x^2 + 10x = 2x(x^2 - 6x + 5)$
Factor Quadratic: Factor the quadratic expression $x^2 - 6x + 5$ . We look for two numbers that multiply to $5$ and add up to $-6$ . These numbers are $-1$ and $-5$ . $x^2 - 6x + 5 = (x - 1)(x - 5)$
Combine Factors: Combine the GCF with the factored form of the quadratic expression to get the final factored form of the original polynomial. $2x^3 - 12x^2 + 10x = 2x(x - 1)(x - 5)$