7 questions · timed · auto-graded
| A | B |
| Q.1. If $\alpha, \beta$ and $\gamma$ are zeroes of the cubic polynomial $p(x)=a x^3+b x^2+c x+d$ then $\alpha \beta+\beta \gamma+\gamma \alpha=\ldots .$. | (a) $-\frac{b}{a}$ |
| Q.2. The degree of the polynomial $(x+1)\left(x^2-x+x^4+1\right)$ | (b) $\frac{c}{a}$ |
| (c) 5 |
| A | B |
| Q.1. If $\alpha$ and $\beta$ are zeroes of a quadratic polynomial $a x^2+b x+c$, then $\frac{1}{\alpha}+\frac{1}{\beta}=\ldots \ldots \ldots .$. | (a) Only one point |
| Q.2. The graph of $p(x)=x^2-10 x+25$ intersects X-axis at ......points | (b) $\frac{-b}{c}$ |
| (c) $\frac{c}{a}$ |
| A | B |
| Q.1. A quadratic equation has no any real zeroes. So, its graph | (a) intersects X-axis |
| Q.2. If $\alpha, \beta$ and $\gamma$ are zeroes of a polynomial $p(x)=a x^3+b x^2+c x+d$ $(a \neq 0)$ then their product $\alpha \beta \gamma=\ldots \ldots \ldots .$. | (b) does not intersect X-axis |
| (c) $\frac{-d}{a}$ |
| A | B |
| Q.1. The degree of the polynomial $p(x)=7-5 x^3-3 x^2+8 x$ | (a) 7 |
| Q.2. Find a quadratic polynomial the sum and product of whose zeroes are 3 and 3 respectively. | (b) 3 |
| (c) $x^2-3 x+3$ |
| A | B |
| Q.1. Write the zeroes of a quadratic polynomial $x^2+x-12$ | (a) 4, -3 |
| Q.2. If one of the zeroes of a polynomial P(x) is 3, then state one factor of it. | (b) x- 3 |
| (c) -4, 3 |
| A | B |
Q.1. From the given graph state two zeroes of the polynomial. | (a) Parabola open upwards |
| Q.2. State about the graph of $p(x)=-x^2+4 x+3$ | (b) -2, 3 |
| (c) Parabola open downwards |
