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What is the completely factored form of the quadratic expression 3x^2-30x-72

User Pookpash
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Answer:

Explanation:

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What is the completely factored form of the quadratic expression 3x^2-30x-72-example-1
User Vinaut
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5 votes

Solution:

Given the expression below


3x^2-30x-72

Factorizing the expression gives


\begin{gathered} Factor\text{ out 3} \\ =3\left(x^2-10x-24\right) \\ =3(x^2-12x+2x-24) \\ =3(x(x-12)+2(x-12)) \\ =3\left(x+2\right)\left(x-12\right) \end{gathered}

Hence, the completely factored form of the quadratic expression is


3\left(x+2\right)\left(x-12\right)

User David Cobb
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