Geometrical Meaning of the Zeroes of a Polynomial

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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

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Identify the graph of a fourth degree polynomial

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If the graph of a quadratic polynomial lies entirely below x-axis, then 

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In the above figure, the graph of a polynomial p(x) is shown. The number of zeroes of p(x) is:

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Let f(x)=x3. The graph of the polynomial is shown in the figure. Find the number of zeros of polynomial f(x).

 

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If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.

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If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial

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The graph of the quadratic polynomial ax2+bx+c intersect x-axis such that c=b24a, then the quadratic polynomial has

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If a > 0, then the graph of the quadratic polynomial will be an _____opening parabola.

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The point where the graph of the equation x22x8=0 intersects X-axis are (x,0) and (2,0), then the value of x ?

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If p(x) = 4x + 5, then the root of px is

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The graph of y=p(x) for the polynomial p(x) is drawn below. Find the number of zeroes of the polynomial.

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The graph of a cubic polynomial y=ax3+bx2+cx+d is shown. Find the coefficients a,b,c and d.

 

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The graph of a quadratic polynomial is a parabola which cuts the X-axis at

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If the graph of a quadratic polynomial is a upward opening parabola, then its quadratic coefficient a is .

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Identify the point where the graph of the equation x22x8=0 intersects x-axis.

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The graph of y=p(x) is given in the figure below, where p(x) is a polynomial. Find the number of zeros.

 

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Examine, seeing the graph of the polynomial given below, whether it is a linear / quadratic / neither linear nor quadratic.

 

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Looking at the graph of the polynomial given below, identify whether it is a linear/quadratic/none of these.