# How to answer this one : (x^4-4x^3-22x^2+100x-75) divided by (x^2-4x+3)

2
by oishieee

2015-09-24T20:49:40+08:00

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The answer is x^2-25. You can check it by multiplying the answer by the divisor.
Hope it helps.
• Brainly User
2015-09-25T00:09:31+08:00

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Factor the numerator (using rational zero theorem, then factor by grouping)
(x-1) ( x+5) (x-5) (x-3)

Factor the denominator:
(x-1) (x-3)

Rewrite:
(x-1) (x+5) (x-5) (x-3)
(x-1)(x-3)

= (x+5) (x-5) or x² - 25