CBSE Questions for Class 9 Maths Polynomials Quiz 10 - MCQExams.com

A real number $$\alpha$$ is said to be a zero of the polynomial $$p(x)$$, if ___________.
  • $$p(\alpha) = 0$$
  • $$p(\alpha) = 1$$
  • $$p(\alpha) = x$$
  • $$p(\alpha) = \alpha$$
A real number '$$\alpha$$' is said to be a ................. of the polynomial $$p(x)$$, if $$p(\alpha) = 0$$.
  • linear
  • zero
  • constant
  • cubic
Which of the following does NOT represent a zero polynomial?
  • $$p(x) = 0$$
  • $$p(x) = 0.x^0$$
  • $$p(x) = x^0$$
  • $$p(x) = x^0 - 1$$
The zero polynomial is the _________ identity of the additive group of polynomials.
  • multiplicative
  • additive
  • multiplicative inverse
  • additive inverse
Using binomial identities, expand the following expression $$(t+3)^2$$
  • $$t^2-6t-9$$
  • $$t^2+6t-9$$
  • $$t^2+6t+9$$
  • $$t^2-6t+9$$
What is the product of $$(x-2x)^2$$?
  • $$2x^2$$
  • $$x-2x^2$$
  • $$x^2$$
  • $$8x^2$$
If $$f(x) = x^{2}-1$$, and $$f(2a) = 35$$, then calculate the value of $$a$$.
  • $$-6$$
  • $$-3$$
  • $$1$$
  • $$2$$
  • $$6$$
$$x^{3}(x^{2} - 5) = -4x$$
If $$x > 0$$, what is one possible solution to the equation above?
  • $$1$$ or $$2$$
  • only $$1$$
  • only $$2$$
  • none of these
If $$x\Box y=(x+y)^2-(x-y)^2$$. Then $$\sqrt 4\Box \sqrt 5=$$.
  • $$0$$
  • $$8\sqrt5$$
  • $$10\sqrt5$$
  • $$15$$
  • $$20$$
Find the value of $$(2x+5)(2x-5)$$.
  • $$4x-25$$
  • $$4x^2-25$$
  • $$2x^2-25$$
  • $$4x^2-5$$
Simplify the following expression: $$(s-r)^2-(s+r)^2$$
  • $$2sr$$
  • $$2s^2+2r^2$$
  • $$-4sr$$
  • $$2s^2-2r^2$$
If $$(3+\sqrt{2})$$ is a root of $${x}^{3}-11{x}^{2}+37x-35=0$$, find the rational root.
  • $$-3$$
  • $$5$$
  • $$2$$
  • None of these
Reduce the following expression using binomial identities: $$(3x+5)(3x+10)$$.
  • $$9x^2+45x+50$$
  • $$9x^2-45x+50$$
  • $$9x^2+45x-50$$
  • $$9x^2+45-50$$
The value of $$(7.2)^2$$ is (use an identity to expand):
  • $$49.9$$
  • $$14.4$$
  • $$51.84$$
  • $$49.04$$
The expansion of $$(2x - 3y)^2$$ is:
  • $$2x^2+3y^2+6xy$$
  • $$4x^2+9y^2-12xy$$
  • $$2x^2+3y^2-6xy$$
  • $$4x^2+9y^2+12xy$$
The degree of zero polynomial is zero.
  • True
  • False
Find the value of $$p(x) = 4x^{2} - 3x + 7$$ at $$x = 1$$.
  • $$6$$
  • $$7$$
  • $$8$$
  • $$9$$
Write whether the following statement is True or False. 
A binomial may have degree $$3$$.
  • True
  • False
$$(a + b)^{2} - (a - b)^{2}=$$ _____.
  • $$4ab$$
  • $$2ab$$
  • $$a^{2} + 2ab + b^{2}$$
  • $$2(a^{2} + b^{2})$$
The number of real zeroes of polynomial $$P(x) = x^3 - x$$ is ..............
  • 2
  • 1
  • 0
  • 3
The zero of the polynomial $$2x-5$$ is:
  • $$\dfrac{5}{2}$$
  • $$-\dfrac{5}{2}$$
  • $$\dfrac{2}{5}$$
  • $$-\dfrac{2}{5}$$
What is the degree of the given monomial $$7y$$?
  • $$0$$
  • $$1$$
  • $$2$$
  • $$7$$
Find the degree of the given algebraic expression:
$$ 3x-15$$ 
  • $$1$$
  • $$3$$
  • $$2$$
  • $$-15$$
The repeated root of $$x^3+4x^2+5x+2=0$$ is
  • -5/3
  •  -2
  • -1
  • 1
Find the degree of the given algebraic expression $$ax^2+bx+c$$.
  • $$0$$
  • $$1$$
  • $$2$$
  • $$3$$
The value of $$\displaystyle\left (5^{\tfrac {1}{2}} + 3^{\tfrac {1}{2}}\right ) \left (5^{\tfrac {1}{2}} - 3^{\tfrac {1}{2}}\right )$$ is:
  • $$2$$
  • $$3$$
  • $$5$$
  • $$1$$
Find the product of $$\left(\dfrac{1}{2}x^2-\dfrac{1}{3}y^2\right)$$ and $$\left(\dfrac{1}{2}x^2+\dfrac{1}{3}y^2\right)$$.
  • $$\dfrac{1}{9}y^4-\dfrac{1}{4}x^4$$
  • $$\dfrac{1}{4}x^4-\dfrac{1}{9}y^4$$
  • $$4x^2-9y^4$$
  • $$\dfrac{1}{4}x^4+\dfrac{1}{9}y^4$$
The polynomial having atmost 3 zero
  • constant polynomial
  • linear polynomial
  • quadratic polynomial
  • cubic polynomial
Find the value of $$f(x) = x^2+\dfrac{1}{x^2}$$ at $$x= 1, 2$$.
  • $$f(1)=2, f(2)=\dfrac{17}{4}$$
  • $$f(2)=2, f(1)=\dfrac{17}{4}$$
  • $$f(1)=-2, f(2)=\dfrac{17}{4}$$
  • $$f(2)=2, f(1)=-\dfrac{17}{4}$$
Check whether $$3$$ is zero of polynomial $$2x^{3} - x^{2} -13x -6$$.
  • True
  • False
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