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