Sign of two zeroes is_______ of polynomial $x^2+$ $99 x+127$
- Apositive
- ✓negative
- Cequal
- Dopposite
Answer: B.
View full solution →Question types
Polynomials question types
37 questions across 5 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
37
Questions
5
Question groups
5
Question types
01
M.C.Q (1 Marks)
5 Q→021 Marks Question
10 Q→032 Marks Questions
9 Q→043 Marks Question
7 Q→05Match The Following.
6 Q→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.
_______ are the zeroes of quadratic polynomial $x^2+2 x-15$
- A$3$ and $5$
- B$-3$ and $-5$
- ✓$3$ and $-5$
- D$-3$ and $5$
Answer: C.
View full solution →According to the graph of $p(x)$ of the polynomial number of zeroes between $-1$ and $+1$ are _______
- ✓$0$
- B$2$
- C$1$
- D$3$
Answer: A.
View full solution →If draw a graph of $y=a x^2+b x+c$ is got open upward parabola then which is right condition ?
- A$a<0$
- B$a=0$
- ✓$a>0$
- D$a \neq 0$
Answer: C.
View full solution →If $\alpha$ and $\beta$ are zeros of Quadratic polynomial $6 x^2-3-7 x$ then $\frac{1}{\alpha}+\frac{1}{\beta}=$____________ .
- ✓$-\frac{7}{3}$
- B$\frac{3}{6}$
- C$-\frac{7}{6}$
- D2
Answer: A.
View full solution →Find a quadratic polynomial, the sum and product of whose zeroes are $0,\sqrt 5 $ respectively.
View full solution →Find a quadratic polynomial of $4, 1$ as the sum and product of its zeroes respectively.
View full solution →The graph of $y = p(x)$ in a figure given below, for some polynomial $p(x)$. Find the number of zeroes of $p(x)$.
View full solution →The graph of $y = p(x)$ in a figure given below, for some polynomial $p(x)$. Find the number of zeroes of $p(x)$.
View full solution →The graph of $y = p(x)$ in a figure given below, for some polynomial $p(x)$. Find the number of zeroes of $p(x)$.
View full solution →Find a quadratic polynomial, the sum and product of whose zeroes are $\sqrt { 2 } , \frac { 1 } { 3 }$ respectively.
View full solution →Find a quadratic polynomial, the sum and product of whose zeroes are $\frac { 1 } { 4 } , - 1$ respectively.
View full solution →Find the zeroes of quadratic polynomial $t^2– 15$ and verify the relationship between the zeroes and their coefficients.
View full solution →Find the zeroes of quadratic polynomial $4u^2+ 8u$ and verify the relationship between the zeroes and their coefficients.
View full solution →Find the zeroes of quadratic polynomial $6x^2- 3 - 7x$ and verify the relationship between the zeroes and their coefficients.
View full solution →Find a quadratic polynomial of the given numbers as the sum and product of its zeroes respectively. $- \frac { 1 } { 4 } , \frac { 1 } { 4 }$
View full solution →Find the zeroes of quadratic polynomial $3x^2- x - 4$ and verify the relationship between the zeroes and their coefficients.
View full solution →Find the zeroes of quadratic polynomial $x^2- 2x - 8$ and verify the relationship between the zeroes and their coefficients.
View full solution →Find the zeroes of quadratic polynomial $6x^2 - 3 - 7x$ and verify the relationship between the zeroes and their coefficients.
View full solution →Find the zeroes of quadratic polynomial $4s^2 - 4s + 1$ and verify the relationship between the zeroes and their coefficients.
View full solution →| Section-A | Section-B | |
| $Q.1.$ linear polynomial | $(a)$ | Three zeroes |
| $Q.2.$ quadratic polynomial | $(b)$ | One zero |
| $(c)$ | Two zeroes | |
| Section-A | Section-B | |
| $Q.1. \alpha \beta+\beta \gamma+\gamma \alpha$ | $(a)$ | $\frac{-b}{a}$ |
| $Q.2. \alpha \beta \gamma$ | $(b)$ | $\frac{c}{a}$ |
| $(c)$ | $\frac{-d}{a}$ | |
Match $A$ with $B$ for the zeroes of polynomial $p(x)$ $=2 x^2-8 x+6$
View full solution →| Section-A | Section-B | |
| $Q.1. \frac{1}{\alpha}+\frac{1}{\beta}$ | $(a)$ | $12$ |
| $Q.2. \alpha^2 \beta+\alpha \beta^2$ | $(b)$ | $3$ |
| $(c)$ | $\frac{4}{3}$ | |
For zeroes polynomial $p(x)=2 x^2-8 x+6$ match $A$ with $B.$
View full solution →| Section-A | Section-B | |
| $Q.1. \alpha+\beta$ | $(a)$ | $3$ |
| $Q.2. \alpha \times \beta$ | $(b)$ | $4$ |
| $(c)$ | $12$ | |
| Section-A | Section- B | |
| $Q.1. $ If roots are recipocals | $(a)$ | In $a x^2+b x+c=0 b=0$ |
| $Q.2. $ If roots are opposites | $(b)$ | In $a x^2+b x+c a=c$ |
| $(c)$ | Three roots are $\alpha, \beta, \gamma$ | |
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