Factor completely: x^(2)(4x+5)-x(4x+5)-30(4x+5) Answer:

Identify Common Factor: Identify the common factor in all three terms of the expression. The common factor is (4x+5).Factor Out Common Factor: Factor out the common factor (4x+5) from each term. x^(2)(4x+5)-x(4x+5)-30(4x+5) = (4x+5)(x^2 - x - 30)Factor Quadratic Expression: Now, factor the quadratic expression x^2 - x - 30. We look for two numbers that multiply to -30 and add up to -1 (the coefficient of x). The numbers -6 and +5 satisfy these conditions.Write Factored Form: Write the factored form of the quadratic expression using the numbers found in the previous step. x^2 - x - 30 = (x - 6)(x + 5)Combine Factored Expressions: Combine the factored quadratic with the previously factored out common factor. (4x+5)(x^2 - x - 30) = (4x+5)(x - 6)(x + 5)

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Q. Factor completely:

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x^{2}(4 x+5)-x(4 x+5)-30(4 x+5)

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Answer:

Identify Common Factor: Identify the common factor in all three terms of the expression. $\newline$ The common factor is $(4x+5)$ .
Factor Out Common Factor: Factor out the common factor $(4x+5)$ from each term. $x^{2}(4x+5)-x(4x+5)-30(4x+5) = (4x+5)(x^2 - x - 30)$
Factor Quadratic Expression: Now, factor the quadratic expression $x^2 - x - 30$ . We look for two numbers that multiply to $-30$ and add up to $-1$ (the coefficient of $x$ ). The numbers $-6$ and $+5$ satisfy these conditions.
Write Factored Form: Write the factored form of the quadratic expression using the numbers found in the previous step. $x^2 - x - 30 = (x - 6)(x + 5)$
Combine Factored Expressions: Combine the factored quadratic with the previously factored out common factor. $\newline$ $(4x+5)(x^2 - x - 30) = (4x+5)(x - 6)(x + 5)$