How do I factor x^3-10*x^2+33*x-36?

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How do I factor x^3-10x^2+33x-36?

Please show me how to factor x^3-10*x^2+33*x-36.

2007-07-13 09:46:52 · 2 answers · asked by Brian 2 in Science & Mathematics ➔ Mathematics

2 answers

x^3 - 10x^2 + 33x - 36
= x^3 - 10x^2 + 33x - 36
= x^3 - 3x^2 -7x^2 + 33x - 36
= (x^3 - 3x^2) - (7x^2 - 33x + 36)
= x^2(x - 3) - (7x -12)(x - 3)
= (x - 3) (x^2 - 7x + 12)
= (x - 3) (x - 4) (x - 3)

x = 3, 4

2007-07-13 10:12:49 · answer #1 · answered by whitesox09 7 · 0⤊ 0⤋

(x-3)^2(x-4)

2007-07-13 10:45:19 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋