Division Algorithm for Polynomials

An expression that is to be divided by another is called

A number or expression that is to be divided by another is called Dividend.

An expression that is to be divided by another is called

Divide the given polynomial by the given monomial

$8(x^3{y}^2{z}^2+x^2{y}^3{z}^2+x^2{y}^2{z}^3)÷4x^2{y}^2{z}^2$

Divide the given polynomial by the given monomial

$\left(2a^{3}b-6a{b}^3\right)÷ab$

Find by operations of division that $\left(2x-5\right)$ is a factor of $\left(4x^4-10x^3-10x^2+30x-15\right)$.

Find by operations of division that $\left(4x-3\right)$ is the factor of $\left(4x^{2 }-13x-12\right)$.

If the polynomial $p\left(x\right)=x^2-x+1$ is divided by $\left(x-2\right)$ then the remainder is

By using division algorithm method find quotient and remainder when polynomial $P\left(x\right)=x^4-3x^2+4x-3$ is divided by $g\left(x\right)=x^2+1-x$.

The result of polynomial division of $x^3-4x^2+5x-2$ by $x-2$ is

Divide: $x^4-3x^2+4x+5$ by $x^2+1-x$ and find the remainder.

If polynomial $x^4-6x^3+16x^2-25x+10$ is divided by another polynomial $x^2-2x+k$ and leaves remainder comes $\left(x+a\right)$, then find the value of $k$ and $a$.

Divide $3y^3-3y^2-4y-17$ by $(y-2)$ and verify it.

Divide $8y^2+6y+7$ by $(2 y+1)$ and verify it.

Verify if on dividing $34x-22x^3-12x^4-10x^2-75$ by $3x+7$ we get quotient $-4x^3+2x^2-8x+30$ and remainder $-285$.

Divide $a^2-b^2$ by $(a+b)$.

On simplifying $\frac{36x^4}{-9x}$ we get $-{\mathrm{kx}}^{\mathrm{j}}$ then what will be the value of $(\mathrm{k}+\mathrm{j})$?

What should be subtracted from the polynomial $\left(4x^2+7z^2+15\right)$ so that the obtained expression is completely divisible by $4z^2-5$.

Find by operations of division that  $\left(x^2-1\right)$ is a factor of $\left(x^6-1\right)$.

Find by operations of division that $\left(x^2+3\right)$ is a factor of $\left(x^5-9x\right)$.