Question 2 :
Give possible expression for the length and breadth of the rectangle whose area is : $25a^{2} - 35a + 12$

Question 3 :
If the quotient of $\displaystyle x^4 - 11x^3 + 44x^2 - 76x +48$. When divided by $(x^2 - 7x +12)$ is $Ax^2 + Bx + C$, then the descending order of A, B, C is

Question 6 :
State True or False.$x^2-\dfrac {y^2}{100}$ <br> $ \ = \ (x+\dfrac y{10})(x-\dfrac y{10})$<br/>

Question 7 :
The factors of $({x}^{4}-7{ x }^{ 2 }{ y }^{ 2 }+{y}^{4})$ are

Question 8 :
State whether True or False.Divide: $ -14x^6y^3-21x^4y^5+7x^5y^4 $ by $ 7x^2y^2$, then answer is&#160;$-2x^4y-3x^2y^3+x^3y^2$.<br/>

Question 9 :
Which of the following should be added to $9x^3+6x^2+x+2$ so that the sum is divisible by (3x+1) ?<br/>

Question 13 :
Factorize :&#160;$\left ( 2a-3 \right )^{2}-2\left ( 2a-3 \right )\left ( a-1 \right )+\left ( a-1 \right )^{2}$

Question 16 :
If x and y are positive integers, which of the following is equivalent to $(2x)^{3y}-(2x)^y$?

Question 18 :
Factorise completely and state whether the answer is True or False.$625 - x^4$ is&#160;$(25 + x^2) (5 + x) (5 - x)$

Question 19 :
State whether True or False.Divide: $ 8x-10y+6c&#160; $ by $ 2 $, then the answer is&#160;$4x-5y+3c $.<br/>

Question 20 :
Factorize by the grouping method:<br/>$a^{4} - 2a^{3} - 4a + 8$

Question 22 :
________ is a method of writing numbers as the product of their factors or divisors.<br>

Question 24 :
Divide: $(x^{4} - y^{4})$ by $(x- y)$. Is $(x-y)$ a factor of $(x^{4}-y^{4})$?<br/>

Question 25 :
State whether True or False.Divide: $ 3ax-6bx-15x $ by $ -3x $, then the answer is&#160;$-a+2b+5 $.<br/>

Question 27 :
Which of following is the simplified form of the expression<br/>$\dfrac {12x^{3}y^{2} - 9x^{2}y}{6x^{4}y + 18x^{3}y^{3}}$<br/>

Question 31 :
Divide the given polynomial by the given monomial.$(x^3 + 2x^2 + 3x)\div&#160; 2x$<br/>

Question 32 :
<table class="question js-dummy-wrapper"><tbody><tr><td colspan="2"><div class="tile-mini-ques-top-bar"><div class="permalink"><span class="icon icon-external-link"></td></tr><tr><td colspan="2"><div class="questions-type-holder"><div class="question_holder question-text"><span class="block ng-binding">Divide the polynomial by monomial&#160;&#160;$6x^2+5x^2-12x+10\, ; \, 3x-2$</td></tr></tbody></table>

Question 35 :
If the polynomial $f(x)$ is such that $f(-43) = 0$, which of the following is the factor of $f(x)$?

Question 37 :
The value of p for which the polynomial $x^{3} + 4x^{2} - px + 8$ is exactly divisible by $(x - 2)$ is<br/>

Question 41 :
Divide the given polynomial by the given monomial.$8(x^3y^2z^2 + x^2y^3z^2 + x^2y^2z^3)\div&#160; &#160;4x^2y^2z^2$<br/>

Question 42 :
If $\left( x-2 \right) \left( x+3 \right) ={ x }^{ 2 }-4$, the value of $x$ is

Question 43 :
Divide the first expression by the second. Write the quotient and the remainder.<br/>$\displaystyle x^2-\frac{1}{4x^2}; x-\frac{1}{2x}$

Question 48 :
The common quantity that must be added to each term of $a^{2}:b^{2}$ to make itequal to $a:b$ is:

Question 50 :
If (x+1)is a factor of $x^2-3ax + 3a -7$, then the value of a is