SOLUTION: find a polynomnomial of degree 4 with 1 ask a zereo of multiplicity 2 and -3 and 5 as zeros of multiplicity 1. please show your work.
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Question 1138584: find a polynomnomial of degree 4 with 1 ask a zereo of multiplicity 2 and -3 and 5 as zeros of multiplicity 1. please show your work.
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
the factors are (x-1)^2(x+3)(x-5)
multiplicity 2 means squared and the other factors give the zeros wished
(x^2-2x+1)(x^2-2x-15)
x^4-2x^3-15x^2-2x^3+4x^2+30x+x^2-2x-15
x^4-4x^3-10x^2+28x-15
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
a polynomnomial of degree with
as a zero of multiplicity ->a zero appears twice
so you have and
and and as zeros of multiplicity ->each appears ones
so you have and
using zero product rule, we have
...substitute given values
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