Monicaa Abhijit Solutions for Chapter: Algebraic Expressions and Identities: Part II, Exercise 4: EXERCISE 6.4

Divide: $\left(2y^2+y-2y^3+y^4+4\right)$ by $\left(y^2+y+1\right)$

Divide: $\left(x^3-6x^2+11x-6\right)$ by $\left(x^2-5x+6\right)$

Divide and check your answer using the division algorithm.

$\left(15x^4-16x^3+9x^2-\frac{10}{3}x+6\right)$ by $\left(3x-2\right)$

Divide and check your answer using the division algorithm.

$\left(2p^3+p^2-5p-2\right)$ by $\left(2p+3\right)$

Divide and check you answer using the division algoithm.

$\left(6y^3+11y^2-39y-65\right)$ by $\left(3y^2+13y+13\right)$

Divide and check your answer using the division algorithm.

$\left(8a^4+10a^3-5a^2-4a+1\right)$ by $\left(2a^2+a-1\right)$

What should be subtracted from $2x^3-5x^2+8x-5$ so that the resulting polynomial is exactly divisible by $2x^2-3x+5$?

What should be subtracted from $6x^2-31x+47$ so that the resulting polynomial is exactly divisible by $2x-5$?