SOLUTION: Find the zeros of the polynomial function f(x)=x^7−x^5−16x^3+16x and state the multiplicity of each.
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-> SOLUTION: Find the zeros of the polynomial function f(x)=x^7−x^5−16x^3+16x and state the multiplicity of each.
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As you see from the graph, there are 5 real roots.
x=-2,-1,0,1,2
Each root has multiplicity of 1.
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The polynomial found by these zeros is,
Divide the original polynomial by this polynomial to find the quadratic remainder.
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First factor:
Subtract this from the original polynomial to get the remainder,
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Next factor:
Subtract this from the remainder
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So the remainder quadratic is which has complex roots (,)
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