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

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Important Questions on Polynomials

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The number of zeros of the polynomial in the graph is _____

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Draw the graph of the polynomial px=x2-7x+12,then find its zeros from the graph.
MEDIUM
If fx=2x+1 then number of real values of x for which three unequal functions fx, f2x, f4x are in G.P
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For the graph, in the figure, y=Px has _____zero/zeros.

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HARD

Number of zeroes that can be identified by the following figure is 

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MEDIUM
Find the zeros of the quadratic polynomial px=x2+x-20 using graph.
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The polynomial, fx=x-12+x-22+x-32+x-42 has minimum value, when x=_____
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The graphs of y=p(x) are given in figure below for some polynomials p(x). Find the number of zeros of p(x).

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EASY

In the given graph, the number of zeros of the polynomial y=p(x) ) is

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HARD

Draw the graph of y=x2+3x+2 and use it to solve the equation x2+2x+4=0.

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Find the number of roots, nature of roots and the roots of the graph given below.

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Find the number of roots, nature of roots and the roots of the graph given below:

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The graph of the polynomials fx=ax2+bx+c is as shown below. Write the sign of c.

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The graph of the polynomial fx=ax2+bx+c is as shown below. Write the signs of a and b2-4ac.
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Find the number of roots, nature of roots and the roots of the graph given below:

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The graph of the polynomial fx=ax2+bx+c is as shown in the figure below. Write the sign of c.

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MEDIUM

Find the number of roots, nature of roots and the roots of the graph given below.

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MEDIUM

Find the number of roots, nature of roots and the roots of the graph given below:

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EASY
If the graph of quadratic polynomial ax2+bx+c cuts negative direction of y-axis, then what is the sign of c?
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In the figure below, the graph of a polynomial p(x) is given. Find the zeroes of the polynomial.

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