Factor the polynomial completely. f(x) = x^3 - 12x^2 + 45x -54

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asked Aug 1, 2020 148k views

2 votes

Factor the polynomial completely. f(x) = x^3 - 12x^2 + 45x -54

Mathematics
middle-school

Ericlee asked

by Ericlee

4.5k points

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1 Answer

4 votes

$f(x) = 10{x}^(3) - 12 {x}^(2) + 45x - 54 \\ f(x) = ( {x}^(3) - 12 {x}^(2) ) + (45x - 54) \\ f(x) = 2{x}^(2) (5x -6) + 9(5x - 6) \\ f(x) = (2{x}^(2) + 9)(5x-6)$
I think this is the answer because the question you asked might have lost the 10 before
${x}^(3)$