SOLUTION: Find a polynomial equation with integral coefficients that has the roots: -2, 2, -3

Question 324516: Find a polynomial equation with integral coefficients that has the roots:
-2, 2, -3
Found 3 solutions by solver91311, MEYDA, MathTherapy:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!

A polynomial function has a zero if and only if is a factor of the polynomial.

Hence:

Just multiply it out to get your polynomial.

John

Answer by MEYDA(1)   (Show Source): You can put this solution on YOUR website!
Hence :
(x-(-2))(x-(-1))(x-3) = 0
(x+2)(x+1)(x-3)= 0
x^3+3x^2-4x-12=0

Answer by MathTherapy(10553)   (Show Source): You can put this solution on YOUR website!
Find a polynomial equation with integral coefficients that has the roots:
-2, 2, -3

If roots are - 2, 2, and - 3, factors are x + 2, x - 2, and x + 3, and so, we get the CORRECT ANSWER as: (x + 2)(x - 2)(x + 3) = 0.
Multiplying the binomials to get a 3rd degree equation.
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