SOLUTION: Find a fourth-degree polynomial with zeros at x=0,1,-2, where the zero of 1 has multiplicity 2, and such that the leading coefficient is 7.
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-> SOLUTION: Find a fourth-degree polynomial with zeros at x=0,1,-2, where the zero of 1 has multiplicity 2, and such that the leading coefficient is 7.
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Question 983598: Find a fourth-degree polynomial with zeros at x=0,1,-2, where the zero of 1 has multiplicity 2, and such that the leading coefficient is 7.
You can put this solution on YOUR website! the basic structure to give those roots is x((x-1)^2)(x+2)=0
This is (x^2x)(x-2)^2=
x^4-3x^2+2x=0
7x^4-21x^2+14x=0
This is a fourth degree polynomial with leading coefficient 7 with those roots and a multiple root at x=1
