In the given figure, the number of zeroes of the polynomial $f(x)$ are:
- A1
- B2
- ✓3
- D4
Answer: C.
View full solution →Question types
Polynomials question types
31 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
31
Questions
4
Question groups
5
Question types
Sample Questions
Polynomials questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The polynomial whose zeroes are -5 and 4 is:
- A$x^2-5 x+4$
- B$x^2+5 x-4$
- ✓$x^2+x-20$
- D$x^2-9 x-20$
Answer: C.
View full solution →The graph of the polynomial $p(x)$ intersects the x -axis three times in distinct points, then which of the following could be an expression for $p(x)$ :
- ✓$4-4 x-x^2+x^3$
- B$3 x^2+3 x-3$
- C$3 x+3$
- D$x^2-9$
Answer: A.
View full solution →In figure, the graph of a polynomial $P (x)$ is shown. The number of zeroes of $P (x)$ is
- A1
- B2
- ✓3
- D4
Answer: C.
View full solution →The graph of a polynomial $P (x)$ cuts the $x$-axis at 3 points and touches it at 2 other points. The number of zeroes of $P (x)$ is
- A1
- B2
- C3
- ✓5
Answer: D.
View full solution →Find the quadratic polynomial whose sum and product of the zeroes are $\frac{21}{8}$ and $\frac{5}{16}$ respectively.
View full solution →Find a quadratic polynomial whose zeroes are $2+\sqrt{3}$ and $2-\sqrt{3}$.
View full solution →Divide $6 x^3+13 x^2+x-2$ by $2 x+1$, and find quotient and remainder.
View full solution →A teacher asked $10$ of his students to write a polynomial in one variable on a paper and then to handover the paper.
The following were the answer given by the students:
$2 x+3,3 x^2+7 x+2,4 x^3+3 x^2+2, x^3+\sqrt{3 x}+7$
$7 x+\sqrt{7}, 5 x^3-7 x+2,2 x^2+3-\frac{5}{x}, 5 x-\frac{1}{2}$
$a x^3+b x^2+c x+d, x+\frac{1}{x}$
Answer the following questions:
$(i)$ How many of the above ten, are not polynomials?
$(ii)$ How many of the above ten, are quadratic polynomials?
View full solution →The following were the answer given by the students:
$2 x+3,3 x^2+7 x+2,4 x^3+3 x^2+2, x^3+\sqrt{3 x}+7$
$7 x+\sqrt{7}, 5 x^3-7 x+2,2 x^2+3-\frac{5}{x}, 5 x-\frac{1}{2}$
$a x^3+b x^2+c x+d, x+\frac{1}{x}$
Answer the following questions:
$(i)$ How many of the above ten, are not polynomials?
$(ii)$ How many of the above ten, are quadratic polynomials?
Solve for $ x : \frac{1}{(x-1)(x-2)}+\frac{1}{(x-2)(x-3)}=\frac{2}{3}, x \neq 1,2,3$
View full solution →Find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficients.
$2 x^2-3+5 x$
View full solution →$2 x^2-3+5 x$
Find other zeroes of the polynomial $p(x)=3 x^4-4 x^3-10 x^2+8 x+8$ if two of its zeroes are $\sqrt{2}$ and $-\sqrt{2}$.
View full solution →Generate a Polynomials paper free
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