Factor completely: 3x^(2)(3x-5)+4(3x-5) Answer:

Identify Common Factor: Identify the common factor in both terms. The expression is 3x^2(3x-5) + 4(3x-5). Both terms have a common factor of (3x-5).Factor Out Common Factor: Factor out the common factor (3x-5). We can write the expression as (3x-5)(3x^2 + 4) by factoring out (3x-5).Check Quadratic Expression: Check if the remaining quadratic expression can be factored further. The quadratic expression 3x^2 + 4 does not factor further over the integers because it does not have real roots. The discriminant b^2 - 4ac = 0^2 - 4(3)(4) = -48 is negative.Write Final Factored Form: Write the final factored form of the expression. The completely factored form of the expression is (3x-5)(3x^2 + 4).

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Factor completely:

3x^(2)(3x-5)+4(3x-5)
Answer:

Factor completely: $\newline$ $3 x^{2}(3 x-5)+4(3 x-5)$ $\newline$ Answer:

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Math Problems

Algebra 2

Composition of linear and quadratic functions: find a value

Full solution

Q. Factor completely:

\newline

3 x^{2}(3 x-5)+4(3 x-5)

\newline

Answer:

Identify Common Factor: Identify the common factor in both terms. $\newline$ The expression is $3x^2(3x-5) + 4(3x-5)$ . Both terms have a common factor of $(3x-5)$ .
Factor Out Common Factor: Factor out the common factor $(3x-5)$ . We can write the expression as $(3x-5)(3x^2 + 4)$ by factoring out $(3x-5)$ .
Check Quadratic Expression: Check if the remaining quadratic expression can be factored further. $\newline$ The quadratic expression $3x^2 + 4$ does not factor further over the integers because it does not have real roots. The discriminant $b^2 - 4ac = 0^2 - 4(3)(4) = -48$ is negative.
Write Final Factored Form: Write the final factored form of the expression. $\newline$ The completely factored form of the expression is $(3x-5)(3x^2 + 4)$ .