Geometrical Meaning of Zeros of a Polynomial

Q. Identify the number of zeroes of the polynomial represented by the graph shown below.

1. 0
2. 3
3. 2
4. 1

Q. Choose the correct statement(s).

i) A linear polynomial has only one zero.
ii ) A quadratic polynomial will have two zeroes.
iii) A quadratic polynomial can have a maximum of two zeroes.
iv) A cubic polynomial can have a maximum of three zeroes.

1. (ii) only
2. (i), (iii) and (iv)
3. (i), (ii) and (iv)
4. (ii) only

Q. The graph of y = p(x) is given. The number of zeroes of y = p(x)​ is___.

Q. What is the maximum number of times the graph of the polynomial $y=p{x}^3+q{x}^2+rx+s$ intersects the x axis?

1. 1
2. 2
3. 4
4. 3

Q. If a polynomial p(x) is of degree “n”, the graph of the polynomial should cut the X axis at “n” points.

1. False
2. True

Q. The number of times the graph of y = p(x) cuts the X axis is ‘a’. The degree of the polynomial p(x) is ‘b’ (> 0). Then $\frac{b}{a}$ ___ 1

1. <
2. >
3. $\ge$
4. $\le$

Q. The graph of y = p(x) is given. Assuming p(x) increases from x=10, the number of zeroes of y = p(x) is ___.

Q.

Which of the following graph represents a quadratic polynomial which has sum of its zeroes is zero?

1. C)

2. B)

3. A)

4. D)

Q.

Which of the following graph represents the quadratic polynomial $-x^2+5x-6$?

1. 

2. 

3. 

4. 

Q. A polynomial $y=f\left(x\right)$ when represented on graph cuts $x-\text{axis}$ at 2 points and $y-\text{axis}$ at 3 points. What is the number of zeroes of $f\left(x\right)$ ?

1. 0
2. 3
3. 5
4. 2