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Question
Divide and write the quotient and the remainder.
(3x + 2x2 + 4x3) ÷ (x − 4)
Solution
(3x + 2x2 + 4x3) ÷ (x − 4)
4x2 + 18x + 75
`x - 4")"overline(4x^3 + 2x^2+3x+0)`
4x3 - 16x2
- -
18x2 + 3x + 0
18x2 - 72x
- +
75 + 0
75x - 300
- +
300
So, quotient = 4x2 + 18x + 75 and remainder = 300.
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