Cubic Polynomial and Its Graphical Representation

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.

How many zeros does a cubic polynomial have?

Q.

A polynomial of degree three is called ……

1. Cubic Polynomial

2. Quadratic Polynomial

3. Zero Polynomial

4. Linear Polynomial

Q. Let p(x) because cubic polynomial such that coefficient of x ki power 3 is 1 p(1)=1, p(2)=2 and (3)=3 , then value of p(4)is

Q.

If a polynomial p(x) is of degree “n”, it should cut the X axis in “n” points. Say true or false.

1. True

2. False

Q.

If the graph of a polynomial touches x axis in only one point then it cant be quadratic.

1. True

2. False

Q. For $x=$ the polynomial $y=x^3-27$ will cut the x-axis.

1. 9
2. 3
3. 2.7

Q. If f(x) is a cubic polynomial with leading coefficient 1 such that f(1)=1, f(2)=4, f(3)=9, f(4)=?

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

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

Q. Why f(x) , if it is a cubic polynomial, is written as (x-1) (x-2) (x-3) +x^2

Q. Let fx be a cubic polynomial such that f2=18 and F1=-1 fx has local maxima at x equals to -1 and fx has local minimaat at x equals to 0 find distance between point (-1, 2) and at a point of local minma

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. >

4. ≤

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

Q. How many turns will a cubic polynomial take?

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

Q. For $x=$ the polynomial $y=x^3-27$ will cut the x-axis.

1. 9
2. 3
3. 2.7

Q. How many turns will a cubic polynomial take?

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

Q. How many turns will a cubic polynomial take?

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

Q. How many turns will a cubic polynomial take?

1. 4
2. 2
3. 1
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. A cubic polynomial can have maximum of _ zeroes

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

Q. How many turns will a cubic polynomial take?

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

Q. Match the following:

1. Quadratic polynomial
2. Linear polynomial
3. Cubic polynomial
4. Constant polynomial

Q. If the degree of a polynomial is 3, then it is a _______ polynomial.

1. linear
2. bi-quadratic
3. cubic
4. quadratic