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 |
| 34x − 22x3 − 12x4 − 10x2 − 75 | 3x + 7 |
Advertisements
उत्तर
Quotient = - 4x3 + 2x2 - 8x + 30
Remainder = - 285
Divisor = 3x + 7
Divisor x Quotient + Remainder = (3x + 7) (- 4x3 + 2x2 - 8x + 30) - 285
= 12x4 + 6x3 - 24x2 + 90x - 28x3 + 14x2 - 56x + 210 - 285
= - 12x 4 - 22x3 -10x2 + 34x - 75
= Dividend
Thus,
Divisor x Quotient + Remainder = Dividend
Hence verified.
APPEARS IN
संबंधित प्रश्न
Write the degree of each of the following polynomials.
Write the degree of each of the following polynomials.
Divide 3x3 + 4x2 + 5x + 18 by x + 2.
Divide 14x2 − 53x + 45 by 7x − 9.
Divide `15 y^4 + 16 y^3 + 10-3 y - 9y^2 - 6` by 3y − 2. Write down the coefficients of the terms in the quotient.
Divide:
x2 − 5x + 6 by x − 3
Divide:
ax2 − ay2 by ax + ay
Divide:
Simplify `(14"p"^5"q"^3)/(2"p"^2"q") - (12"p"^3"q"^4)/(3"q"^2)`
Statement A: If 24p2q is divided by 3pq, then the quotient is 8p.
Statement B: Simplification of `((5x + 5))/5` is 5x
