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Factorize:
35x^3 + 79x^2 - 75x +9

2006-06-12 06:38:34 · 3 answers · asked by Anonymous in Science & Mathematics Mathematics

3 answers

(x+3) (5x-3) (7x-1)

You can do this manually by figuring out the factors of 35 and 9.

For 35: {1, 5, 7, 35, -1, -5, -7, -35)
For 9: {1, 3, 9, -1, -3, -9)

I started assuming that (x + n) would be a factor. I tried (x + 1), (x - 1), then (x + 3).

If you do long division, you get:
(x + 3) ( 35x^2 - 26x^2 + 3)

Then you just repeat the process for ( 35x^2 - 26x^2 + 3)... you need factors of 35 and factors of 3 that will add up to -26.
-3 x 7 = -21 and -1 x 5 = -5, so (5x - 3)(7x - 1) works.

That gives the final answer of:
(x+3) (5x-3) (7x-1)

2006-06-12 06:56:27 · answer #1 · answered by Puzzling 7 · 0 0

42875 + 6241 - 75 + 9 = 49050 (just a guess?!?!)

2006-06-12 13:49:31 · answer #2 · answered by lala 2 · 0 0

wow im not even gonna try that

2006-06-12 13:41:57 · answer #3 · answered by no name 3 · 0 0

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