SOLUTION: Find a polynomial of degree 4 with -2 as a zero of multiplicity 2 and 0 and 3 as zeros of multiplicity 1.

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: Find a polynomial of degree 4 with -2 as a zero of multiplicity 2 and 0 and 3 as zeros of multiplicity 1.      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 457579: Find a polynomial of degree 4 with -2 as a zero of multiplicity 2 and 0 and 3 as zeros of multiplicity 1.
Answer by lwsshak3(6505) About Me  (Show Source):
You can put this solution on YOUR website!
Find a polynomial of degree 4 with -2 as a zero of multiplicity 2 and 0 and 3 as zeros of multiplicity 1.
..
Factors:
(x+2)(x+2)(x)(x-3)
=(x^2+4x+4)(x)(x-3)
=(x^3+4x^2+4x)(x-3)
=x^4+4x^3+4x^2-3x^3-12x^2-12x
=x^4+x^3-8x^2-12x (ans)