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Question
Write the standard form of a cubic polynomial with real coefficients.
Solution
The most general form of a cubic polynomial with coefficients as real numbers is of the form `f(x) = ax^3 + bx^2 + cx +d`, where `a,b,c,d` are real number and `a ≠ 0`
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Case Study -1
The figure given alongside shows the path of a diver, when she takes a jump from the diving board. Clearly it is a parabola.
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The graph of parabola opens upwards, if:
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 below shown graph are:
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