Divide 3y4 − 3y3 − 4y2 − 4y by Y2 − 2y.

Divide 3y⁴ − 3y³ − 4y² − 4y by y² − 2y.

Sum

shaalaa.com

Is there an error in this question or solution?

Which of the following expressions are not polynomials?

x² + 2x⁻²

Divide\[- x^6 + 2 x^4 + 4 x^3 + 2 x^2\ \text{by} \sqrt{2} x^2\]

Divide 14x² − 53x + 45 by 7x − 9.

Divide m³ − 14m² + 37m − 26 by m² − 12m +13.

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

Using division of polynomials, state whether

3y² + 5 is a factor of 6y⁵ + 15y⁴ + 16y³ + 4y² + 10y − 35

Divide the first polynomial by the second in each of the following. Also, write the quotient and remainder:

y⁴ + y², y² − 2

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: (32y² – 8yz) by 2y