Test Details

Polynomials

Try to attempt all the questions. Wish you all the luck!

Jan 22, 12:10 PM

40 minutes

Jan 23, 12:00 PM

40.0 marks

MCQ

20 questions

Mahmoodul Hassan

I am here to change lives.

Class Details

Mathematics

Class 9

Mathematics

In this classroom we will cover the entire syllabus of Mathematics as prescribed by CBSE for standard 9. There would be weekly doubt clearing sessions along with biweekly assignments, periodic tests and many more.

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Question Text

Question 1 :
State whether the statement is True or False.Evaluate: $(2a+3)(2a-3)(4a^2+9)$ is equal to $16a^4-81$.

Question 3 :
If $\dfrac {a^{2} + 2ab + b^{2}}{a^{2} - b^{2}} = 2a + 2b$, what is the value of $a - b$?

Question 4 :
Divide the first expression by the second. Write the quotient and the remainder. $a^2-b^2 ; a-b$

Question 7 :
If (x -1) is a factor of polynomial f(x) but not of g(x), then it must be a factor of

Question 8 :
State whether the statement is True or False.Evaluate: $(6-xy)(6+xy)$ is equal to $36-x^2y^2$.

Question 9 :
If $\displaystyle x \neq 0$, $\displaystyle x + \dfrac{1}{2x} = p$ and $\displaystyle x - \dfrac{1}{2x} = q$; find a relation between $\displaystyle p$ and $\displaystyle q$.

Question 11 :
On dividing $f(x)$ by a polynomial $x-1-x^2$, the quotient $q(x)$ and remainder $r(x)$ are $(x-2)$ and $3$ respectively. Then $f(x)$ is

Question 12 :
If $\displaystyle 2 \left ( x^{2} + 1 \right ) = 5x$, find $\displaystyle x - \dfrac{1}{x}$

Question 13 :
If the remainder, when polynomial $f(x)$ is divided by $x-1, x+1$, are $6, 8$ respectively, then the remainder, when $f(x)$ is divided by$ (x-1)(x+1)$ is :

Question 14 :
Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm. $x^3-3x+1, x^5-4x^3+x^2+3x+1$

Question 15 :
For the remainder of the division of $x^{3}- 2x^{2}+ 3kx + 18$ by $x - 6$ to be equal to zero, k must be equal to

Question 16 :
When a number P is divided by 4 it leaves remainder 3. If twice of the number P is divided by the same divisor 4, then what will be the remainder?

Question 17 :
If ${x^2} - 3x + 2$ is a factor of $f(x) = {x^4} - p{x^2} + q$ ,then $(p,q) = $

Question 19 :
If $\displaystyle { \left( n+1 \right)  }^{ 3 }-{ \left( n-1 \right)  }^{ 3 }=n+2$, then which of the following can be the value of $n$ ?

Question 20 :
If $\displaystyle { n }^{ 3 }-{ n }^{ 2 }=n-1$, then which of the following can be the value of $ n$?

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