Question
Verify the division algorithm i.e., Dividend $=$ Divisor $\times $ Quotient $+$ Remainder, in the following. Also write the quotient and remainder.
Dividend: $14 x^2+13 x-15$
Divisor: $7x - 4$
Dividend: $14 x^2+13 x-15$
Divisor: $7x - 4$
✓
Answer
Quotient $= 2x + 3$
Remainder $= -3$
Divisor $= 7x - 4$
Divisor $\times $ Quotient $+$ Remainder $= (7x - 4)(2x + 3) - 3$
$14 x^2+21 x-8 x-12-3$
$=14 x^2+13 x-15$
= Dividend
Thus,
Divisor $\times $ Quotient + Remainder = Dividend
Hence verified.
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