SOLUTION: Write the equations of the following polynomial functions, a) a cubic function with zeros, 0,-2 and 3, graph passes through (-3,27) b) a quartic function with zeros 1, -3, 2(

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write the equations of the following polynomial functions, a) a cubic function with zeros, 0,-2 and 3, graph passes through (-3,27) b) a quartic function with zeros 1, -3, 2(      Log On


   

Question 1166525: Write the equations of the following polynomial functions,
a) a cubic function with zeros, 0,-2 and 3, graph passes through (-3,27)
b) a quartic function with zeros 1, -3, 2(of order 2), y-intercept is -48

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a) zeros 0, -2, 3; through (-3,27)

y+=+a%28x%29%28x%2B2%29%28x-3%29

To determine the leading coefficient a, substitute y=27 and x = -3.

b) zeros 1, -3, 2, 2; through (0,-48)

y+=+a%28x-1%29%28x%2B3%29%28x-2%29%5E2

To determine the leading coefficient a, substitute y=-48 and x=0.