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The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.
If the sum of the roots is –p and product of the roots is then the quadratic polynomial is
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The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.
If the roots of the quadratic polynomial are equal, where the discriminant D = b^{2 }– 4ac, then
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The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.
The graph of x^{2} + 1 = 0
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The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.
In the standard form of quadratic polynomial, ax^{2} + bx, c, a, b and c are
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The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.
If α are 1/α the zeroes of the quadratic polynomial 2x^{2} – x + 8k, then k is
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Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.
What will be the expression of the polynomial?
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Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.
The graph of parabola opens upwards, if _______
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Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.
The three zeroes in the above shown graph are
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Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.
The shape of the path traced shown is
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Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.
Observe the following graph and answer
In the above graph, how many zeroes are there for the polynomial?
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For a linear polynomial kx + c, k ≠ 0, the graph of y = kx + c is a straight line which intersects the Xaxis at exactly one point, namely, Therefore, the linear polynomial kx + c, k ≠ 0, has exactly one zero, namely, the Xcoordinate of the point where the graph of y = kx + c intersects the Xaxis.
If the product of the zeroes of the quadratic polynomial p(x) = ax^{2} – 6x – 6 is 4, then the value of a is:
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For a linear polynomial kx + c, k ≠ 0, the graph of y = kx + c is a straight line which intersects the Xaxis at exactly one point, namely, Therefore, the linear polynomial kx + c, k ≠ 0, has exactly one zero, namely, the Xcoordinate of the point where the graph of y = kx + c intersects the Xaxis.
The graph of y = p(x) is given in figure below for some polynomial p(x). The number of zero/zeroes of p(x) is/are:
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For a linear polynomial kx + c, k ≠ 0, the graph of y = kx + c is a straight line which intersects the Xaxis at exactly one point, namely, Therefore, the linear polynomial kx + c, k ≠ 0, has exactly one zero, namely, the Xcoordinate of the point where the graph of y = kx + c intersects the Xaxis.
If a and b are the zeroes of the quadratic polynomial p(x) = 4x^{2} + 5x + 1, then the product of zeroes is:
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For a linear polynomial kx + c, k ≠ 0, the graph of y = kx + c is a straight line which intersects the Xaxis at exactly one point, namely, Therefore, the linear polynomial kx + c, k ≠ 0, has exactly one zero, namely, the Xcoordinate of the point where the graph of y = kx + c intersects the Xaxis.
If a linear polynomial is 2x + 3, then the zero of 2x + 3 is:
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For a linear polynomial kx + c, k ≠ 0, the graph of y = kx + c is a straight line which intersects the Xaxis at exactly one point, namely, Therefore, the linear polynomial kx + c, k ≠ 0, has exactly one zero, namely, the Xcoordinate of the point where the graph of y = kx + c intersects the Xaxis.
If α and β are the zeroes of the quadratic polynomial x^{2} – 5x + k such that α – β = 1, then the value of k is:
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115 videos478 docs129 tests
