SOLUTION: Form a polynomial whose zeros and degree are given. zeros: -5, multiplicity 2;5, multiplicity 1; degree 3 Multi Choice Answers: A) x^3-5x^2-50x+125 B) x^3+5x^2-25x-125 C)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Form a polynomial whose zeros and degree are given. zeros: -5, multiplicity 2;5, multiplicity 1; degree 3 Multi Choice Answers: A) x^3-5x^2-50x+125 B) x^3+5x^2-25x-125 C)       Log On


   

Question 622048: Form a polynomial whose zeros and degree are given.
zeros: -5, multiplicity 2;5, multiplicity 1; degree 3
Multi Choice Answers:
A) x^3-5x^2-50x+125
B) x^3+5x^2-25x-125
C) x^3-5x^2-25x+125
D) x^3+10x^2-25x-125
Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Form a polynomial whose zeros and degree are given.
zeros: -5, multiplicity 2;5, multiplicity 1; degree 3
Multi Choice Answers:
A) x^3-5x^2-50x+125
B) x^3+5x^2-25x-125
C) x^3-5x^2-25x+125
D) x^3+10x^2-25x-125
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(x+5)*(x+5)*(x-5) = 0
x%5E3+%2B+5x%5E2+-+25x+-+125

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Form a polynomial with zeros: -5, multiplicity 2;5, multiplicity 1; degree 3 

 (x+5)(x+5)(x-5) = (x^2 + 10x + 25)(x-5) = 

                    x^3 + 20x^2 + 25x

                            -  5x^2  - 50x - 125

                    x^3 + 15x^2 -25x - 125