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 |
| 4y3 + 8y + 8y2 + 7 | 2y2 − y + 1 |
Advertisements
उत्तर
Quotient = 2y + 5
Remainder = 11y + 2
Divisor = 2y2 - y + 1
Divisor x Quotient + Remainder = (2y2 - y + 1) (2y + 5) + 11y + 2
= 4y3 +10y2 - 2y2 - 5y + 2y + 5 + 11y + 2
= 4y3 + 8y2 + 8y + 7
= Dividend
Thus,
Divisor x Quotient + Remainder = Dividend
Hence verified.
APPEARS IN
संबंधित प्रश्न
Write each of the following polynomials in the standard form. Also, write their degree.
(x3 − 1)(x3 − 4)
Write each of the following polynomials in the standard form. Also, write their degree.
(y3 − 2)(y3 + 11)
Verify the division algorithm i.e. Dividend = Divisor × Quotient + Remainder, in each of the following. Also, write the quotient and remainder.
| Dividend | Divisor |
| 15y4 − 16y3 + 9y2 −\[\frac{10}{3}\] y+6 | 3y − 2 |
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.
Using division of polynomials, state whether
2y − 5 is a factor of 4y4 − 10y3 − 10y2 + 30y − 15
Using division of polynomials, state whether
3y2 + 5 is a factor of 6y5 + 15y4 + 16y3 + 4y2 + 10y − 35
Find whether the first polynomial is a factor of the second.
y − 2, 3y3 + 5y2 + 5y + 2
Divide 24(x2yz + xy2z + xyz2) by 8xyz using both the methods.
Divide 27y3 by 3y
Divide: (32y2 – 8yz) by 2y
