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12r^2 51r + 45 =

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12r^2 51r + 45 = [#permalink] New post   26 Aug 2022, 06:40
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\(12r^2 – 51r + 45 =\)

A \(3(4r -5)(r+3)\)
B \(3(4r+5)(r-3)\)
C \(3(4r+3)(r-5)\)
D \(3(4r-5)(r-3)\)
E \(3r^2 – 15\)


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D
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eligold
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Re: 12r^2 51r + 45 = [#permalink] New post   26 Aug 2022, 06:57
Instead of solving algebraically, use a shortcut

Put r = 0 in the equation in the question and then in each of the answer choices. If the answer in both cases is same, we found our solution.

At r=0, 12r2–51r+45= 45


A 3(4r−5)(r+3) = -45
B 3(4r+5)(r−3) = -45
C 3(4r+3)(r−5) = -45
D 3(4r−5)(r−3) = 45
E 3r2–15 = -15

Answer is D
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Re: 12r^2 51r + 45 = [#permalink] New post   28 Aug 2022, 07:22
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Posting the algebraic approach for all the algebra lovers :
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Re: 12r^2 51r + 45 = [#permalink]
28 Aug 2022, 07:22
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