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What is the quotient when x^3-5x^2+5 is divided by x-2

User Max D
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1 Answer

4 votes

Answer:

x² - 3x - 6

Explanation:

One way to divide is to use the divisor as a factor in the numerator

Consider the numerator

= x²(x - 2) + 2x² - 5x² + 5

= x²(x - 2) - 3x(x - 2) - 6x + 5

= x²(x - 2) - 3x(x - 2) - 6(x - 2) - 12 + 5

= x²(x - 2) - 3x(x - 2) - 6(x - 2) - 7

quotient = x² - 3x - 6, remainder = - 7

User Infomaster
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