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Question
Find the quotient and the remainder when :
6x2 + x − 15 is divided by 3x + 5. verify your answer.
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Solution
`3"x"+5)overline(6"x"^2+"x"−15)(2"x"−3`
6x2 + 10x
− −
−9x − 15
−9x − 15
+ +
×
∴ Quotient = 2x − 3 and remainder = 0
Verification :
Dividend = Quotient × Divisor + Reminder
= (2x − 3) (3x + 5) + 0
= 6x2 + 10x − 9x − 15 + 0
= 6x2 + x − 15 which is given
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