Division of Polynomials

Q. Question 4(v)
Factorise
$a^4-2a^2{b}^2+b^4$

Q. Factorise the following.
(A) $4x^2-20x+25$
(B) $a^3-4a^2+12-3a$

Q. Solve: $(35x^5+14x^3-28x^2)÷-7x$

1. $-5x^4-2x^2+4x$
2. $+5x^4+2x^2-4x$
3. $-5x^4-2x^2+4x$
4. $-5x^4+2x^2+4x$

Q. Factorise:
$(x^2-2xy+y^2)-z^2$

1. $(x-y-z)(x-y+z)$
2. $(x+y+z)(x-y+z)$
3. $(x+y-z)(x-y+z)$
4. $(x+y+z)(x-y-z)$

Q. If $y=2$, then the value of $\frac{(xy+2x)}{x}$ will be

1. 1
2. 2
3. 3
4. 4

Q. Solve: $(35x^5+14x^3-28x^2)÷(-7x)$

Q. $x^2$ - $(100\times (y+z{)}^2)÷(x-10y-10z)$

1. $x+10\times (y+z)$
2. $x+10\times (y+z)$
3. $x+100\times (y+z)$
4. $x+10\times \left(y\right)+10\times \left(z\right)$

Q. The quotient obtained when $p{q}^2+5pq+6p$ is divided by $pq+2p$ is

1. $q+3$
2. $q-3$
3. $q+2$
4. $pq+3p$

Q.

$4yz(z^2+6z-16)÷2y(z+8)$ gives

1. None of these

2. z-2

3. z(z-2)

4. 2z(z-2)

Q.

$36-12xy+y^2$ is a perfect square trinomial

1. 5

2. 6

Q. Factorise :
$\left(i\right)x^2+8x+16$ $\left(ii\right)4a^2-4a+1$

Q. Factorise:
(i) $x^2+8x+16$ (ii) $4a^2-4a+1$

Q. Factorise :
$\left(i\right)x^2+8x+16$ $\left(ii\right)4a^2-4a+1$

Q. Factorize the following algebraic expression:

$a^2-2ab+b^2-c^2$

Q. Find the remainder when $30y^4+11y^3-42y^2+3$ is divided by $3y^2+2y$?

1. 0
2. 2y+3
3. -24y + 3
4. y-2

Q.

Dividing $(a+b{)}^2+(a-b{)}^2$ by $(a^2+b^2)$ gives ___

Q. Factorise :
$\text{(i)}{x}^2+8x+16$
$\text{(ii)}4a^2–4a+1$

Q. Factorise :
$\text{(i)}{x}^2+8x+16$
$\text{(ii)}4a^2–4a+1$

Q. Factorize the following algebraic expression:

$(a^2-5a{)}^2-36$

Q. Solve: $(35x^5+14x^3-28x^2)÷-7x$

Q. Factorise:
$a^4-b^4$

Q. Factorise:
$a^4-b^4$

Q.

The value of $52xyz(xy+yz+xz+y^2)(z+x)÷104xy(xy+xz+yz+y^2)$ is:

1. $\frac{z(z+x)}{2}$

2. $\frac{z(z-x)}{2}$

3. $\frac{x(z-x)}{2}$

4. $\frac{x(z+x)}{2}$

Q. Factorize the following algebraic expression:

$a^2+2ab+b^2-16$