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Question
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 14x2 + 13x − 15 | 7x − 4 |
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Solution
Quotient = 2x + 3
Remainder =- 3
Divisor = 7x -4
Divisor x Quotient + Remainder = (7x -4) (2x + 3) - 3
= 14x2 + 21x - 8x - 12 - 3
= 14x2 + 13x -15
= Dividend
Thus,
Divisor - Quotient + Remainder = Dividend
Hence verified.
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