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

Identify common factors: Identify common factors in all terms. We notice that each term of the polynomial x^3 + 3x^2 - 10x has a common factor of x. Factor out the common x. x(x^2 + 3x - 10)Factor the quadratic expression: Factor the quadratic expression. We now need to factor the quadratic expression x^2 + 3x - 10. We look for two numbers that multiply to -10 and add up to 3. The numbers 5 and -2 satisfy these conditions. So we can write the quadratic as (x + 5)(x - 2).Write completely factored form: Write the completely factored form. Combine the factored out x from Step 1 with the factored quadratic from Step 2. The completely factored form is x(x + 5)(x - 2).

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Factor completely:

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

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

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Algebra 2

Composition of linear and quadratic functions: find a value

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Q. Factor completely:

\newline

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

\newline

Answer:

Identify common factors: Identify common factors in all terms. $\newline$ We notice that each term of the polynomial $x^3 + 3x^2 - 10x$ has a common factor of $x$ . $\newline$ Factor out the common $x$ . $\newline$ $x(x^2 + 3x - 10)$
Factor the quadratic expression: Factor the quadratic expression. $\newline$ We now need to factor the quadratic expression $x^2 + 3x - 10$ . $\newline$ We look for two numbers that multiply to $-10$ and add up to $3$ . $\newline$ The numbers $5$ and $-2$ satisfy these conditions. $\newline$ So we can write the quadratic as $(x + 5)(x - 2)$ .
Write completely factored form: Write the completely factored form. Combine the factored out $x$ from Step $1$ with the factored quadratic from Step $2$ . The completely factored form is $x(x + 5)(x - 2)$ .