What is a polynomial function in standard form with zeroes 1,2,-3,and -3

2 answers

a x ^ 4 + b x ^ 3 + c x ^ 2 + d x + e =

a * ( x - x1 ) * ( x - x2 ) * ( x - x3 ) * ( x - x4 )

In tis case :

a * ( x - 1 ) * ( x - 2 ) * ( x + 3 ) * ( x + 3 ) =

a * ( x ^ 4 + 3 x ^ 3 - 7 x ^ 2 - 15 x + 18 )
Thank you
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