Factor completely: x^(2)(x+8)-3x(x+8)-10(x+8) Answer:

Identify Common Factor: Identify the common factor in all terms. Looking at the expression x^(2)(x+8)-3x(x+8)-10(x+8), we can see that (x+8) is a common factor in each term.Factor Out Common Factor: Factor out the common factor (x+8). We take (x+8) out of each term, which gives us (x+8)(x^2 - 3x - 10).Factor Quadratic Expression: Factor the quadratic expression. Now we need to factor the quadratic x^2 - 3x - 10. We look for two numbers that multiply to -10 and add up to -3. These numbers are -5 and +2.Write Factored Form: Write the factored form of the quadratic. The quadratic x^2 - 3x - 10 factors into (x - 5)(x + 2).Combine Factored Expressions: Combine the factored quadratic with the common factor. The completely factored form of the original expression is (x+8)(x-5)(x+2).

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Factor completely:

x^(2)(x+8)-3x(x+8)-10(x+8)
Answer:

Factor completely: $\newline$ $x^{2}(x+8)-3 x(x+8)-10(x+8)$ $\newline$ 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^{2}(x+8)-3 x(x+8)-10(x+8)

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Answer:

Identify Common Factor: Identify the common factor in all terms. $\newline$ Looking at the expression $x^{2}(x+8)-3x(x+8)-10(x+8)$ , we can see that $(x+8)$ is a common factor in each term.
Factor Out Common Factor: Factor out the common factor $(x+8)$ . We take $(x+8)$ out of each term, which gives us $(x+8)(x^2 - 3x - 10)$ .
Factor Quadratic Expression: Factor the quadratic expression. $\newline$ Now we need to factor the quadratic $x^2 - 3x - 10$ . We look for two numbers that multiply to $-10$ and add up to $-3$ . These numbers are $-5$ and $+2$ .
Write Factored Form: Write the factored form of the quadratic. $\newline$ The quadratic $x^2 - 3x - 10$ factors into $(x - 5)(x + 2)$ .
Combine Factored Expressions: Combine the factored quadratic with the common factor. $\newline$ The completely factored form of the original expression is $(x+8)(x-5)(x+2)$ .