SOLUTION: Write a polynomial function in standard form with the given zeros -3 , -2, 0, 2

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Question 593614: Write a polynomial function in standard form with the given zeros -3 , -2, 0, 2
Answer by htmentor(1343) About Me  (Show Source):
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Write a polynomial function in standard form with the given zeros -3 , -2, 0, 2
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If the zeros are -3,-2,0, and 2 then we can write:
x(x+3)(x+2)(x-2) = 0
Multiply and collect terms:
x(x+3)(x^2-4) = x(x^3+3x^2-4x-12) = x^4+3x^3-4x^2-12x
The graph is below:
graph%28300%2C300%2C-5%2C5%2C-20%2C20%2Cx%5E4%2B3x%5E3-4x%5E2-12x%29