Advertisements
Advertisements
प्रश्न
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 |
Advertisements
उत्तर

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.
संबंधित प्रश्न
Divide the given polynomial by the given monomial.
(x3 + 2x2 + 3x) ÷ 2x
Write the degree of each of the following polynomials.
Divide 24a3b3 by −8ab.
Divide −72a4b5c8 by −9a2b2c3.
Divide 5x3 − 15x2 + 25x by 5x.
Divide 4z3 + 6z2 − z by −\[\frac{1}{2}\]
Divide x5 + x4 + x3 + x2 + x + 1 by x3 + 1.
Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:
10x2 − 7x + 8, 5x − 3
8x3y ÷ 4x2 = 2xy
Simplify `(14"p"^5"q"^3)/(2"p"^2"q") - (12"p"^3"q"^4)/(3"q"^2)`
