SOLUTION: Find a polynomial f(x) of degree 4 that has the following zeros.5,0,-1,-9

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Question 1156811: Find a polynomial f(x) of degree 4 that has the following zeros.5,0,-1,-9
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
a polynomial f%28x%29+of degree 4 that has the following zeros:
x%5B1%5D=5
x%5B2%5D=+0
x%5B3%5D=-1
x%5B4%5D=-9
f%28x%29=%28x-+x%5B1%5D%29%28x-+x%5B2%5D%29%28x-+x%5B3%5D%29%28x-+x%5B4%5D%29+
f%28x%29=%28x-+5%29%28x-+0%29%28x-+%28-1%29%29%28x-+%28-9%29%29+
f%28x%29=%28x-+5%29%28x%29%28x%2B1%29%28x%2B9%29+
f%28x%29=%28x%5E2-+5x%29%28x%2B1%29%28x%2B9%29+
f%28x%29=%28x%5E3+-+4x%5E2+-+5x%29%28x%2B9%29+
f%28x%29=x%5E4+%2B+5x%5E3+-+41x%5E2+-+45x+


+graph%28+600%2C+600%2C+-15%2C+15%2C+-500%2C+500%2Cx%5E4+%2B+5x%5E3+-+41x%5E2+-+45x%29+