Geometrical Meaning of the Zeroes of a Polynomial
Geometrical Meaning of the Zeroes of a Polynomial: Overview
This Topic covers sub-topics such as Graph of a Cubic Polynomial, Graph of a Quadratic Polynomial, Graph of a Linear Polynomial and, Geometrical Meaning of the Zeros of a Polynomial
Important Questions on Geometrical Meaning of the Zeroes of a Polynomial
Identify the graph of a fourth degree polynomial
If the graph of a quadratic polynomial lies entirely below -axis, then
In the above figure, the graph of a polynomial p(x) is shown. The number of zeroes of p(x) is:
Let . The graph of the polynomial is shown in the figure. Find the number of zeros of polynomial .
If the graph of a polynomial intersects the at only one point, it cannot be a quadratic polynomial.
If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial
The graph of the quadratic polynomial intersect x-axis such that , then the quadratic polynomial has
If , then the graph of the quadratic polynomial will be an _____opening parabola.
The point where the graph of the equation intersects axis are , then the value of ?
If , then the root of is
The graph of y=p(x) for the polynomial p(x) is drawn below. Find the number of zeroes of the polynomial.
The graph of a cubic polynomial is shown. Find the coefficients and .
The graph of a quadratic polynomial is a parabola which cuts the axis at
If the graph of a quadratic polynomial is a upward opening parabola, then its quadratic coefficient is .
Identify the point where the graph of the equation intersects axis.
Find the root of
The graph of is given in the figure below, where is a polynomial. Find the number of zeros.
Examine, seeing the graph of the polynomial given below, whether it is a linear quadratic neither linear nor quadratic.
Looking at the graph of the polynomial given below, identify whether it is a linear/quadratic/none of these.