9th Mathematics MCQ Quiz

Chapter 2 Polynomials

Polynomials for 9th Class Quiz topics covered : Meaning of a Polynomial, Degree of a polynomial, Coefficients, Monomials, Binomials etc., Constant, Linear, Quadratic Polynomials etc., Value of a polynomial for a given value of the variable, Zeroes of a polynomial, Remainder theorem, Factor theorem, Factorisation of a quadratic polynomial by splitting the middle term, Factorisation of algebraic expressions by using the Factor theorem and Algebraic identities

  • total Questions =10
  • To know total score a button is given at the end of this quiz
  • Each correct question carry one marks.


Class 9 Maths Chapter 2

2901

Q. 1. If $\frac{x}{y}+\frac{y}{x}=-1 \quad(x, y \neq 0)$, the value of $x^{3}-y^{3}$ is

2894

Q. 2. If $x+1$ is a factor of the polynomial $2 x^{2}+k x$, then the value of $k$ is

2886

Q. 3. Degree of the zero polynomial is

2903

Q. 4. If $a+b+c=0$, then $a^{3}+b^{3}+c^{3}$ is equal to

2900

Q. 5. The coefficient of $x$ in the expansion of $(x+3)^{3}$ is

2882

Q. 6. If $x^{2}+k x+6=(x+2)(x+3)$ for all $x$, then the value of $k$ is

2890

Q. 7. Zero of the zero polynomial is

2888

Q. 8. The value of the polynomial $5 x-4 x^{2}+3$, when $x=-1$ is

2889

Q. 9. If $p(x)=x+3$, then $p(x)+p(-x)$ is equal to

2895

Q. 10. $x+1$ is a factor of the polynomial



Main Concepts and Formule Chapter 2 Class 9 Mathematics

Algebraic identities -
$(x+y)^{2}=x^{2}+2 x y+y^{2}$
$(x-y)^{2}=x^{2}-2 x y+y^{2}$
$x^{2}-y^{2}=(x+y)(x-y)$
$(x+a)(x+b)=x^{2}+(a+b) x+a b$
$(x+y+z)^{2}=x^{2}+y^{2}+z^{2}+2 x y+2 y z+2 z x$
$(x+y)^{3}=x^{3}+3 x^{2} y+3 x y^{2}+y^{3}=x^{3}+y^{3}+3 x y(x+y)$
$(x-y)^{3}=x^{3}-3 x^{2} y+3 x y^{2}-y^{3}=x^{3}-y^{3}-3 x y(x-y)$
$x^{3}+y^{3}=(x+y)\left(x^{2}-x y+y^{2}\right)$
$x^{3}-y^{3}=(x-y)\left(x^{2}+x y+y^{2}\right)$
$x^{3}+y^{3}+z^{3}-3 x y z=(x+y+z)\left(x^{2}+y^{2}+z^{2}-x y-y z-z x\right)$