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Use the leading coefficient test to determine the behavior of the polynomial at the end of.
Graphing polynomials math. Determine the y y intercept 0 p 0 0 p 0. Algebra graphing polynomials lessons with lots of worked examples and practice problems. F left parenthesis x right parenthesis equals left parenthesis 3 x minus 2 right parenthesis left parenthesis x plus 2 right parenthesis squared. F x 3 x 2 x 2 2.
Use the rational root theorem to find the roots or zeros of. Process for graphing a polynomial determine all the zeroes of the polynomial and their multiplicity. Specifically we will find polynomials zeros i e x intercepts and analyze how they behave as the x values become infinitely positive or infinitely negative i e end behavior. We will now analyze several features of the graph of the polynomial.
Plot the x and y intercepts on the coordinate plane. For example if you have found the zeros for the polynomial f x 2 x4 9 x3 21 x2 88 x 48 you can apply your results to graph the polynomial as follows. F x 3x 2 x 2 2 f x 3x 2 x 2 2.
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