SOLUTION: Form a polynomial whose zeros and degree are given. Zeros: 0, -3, 2 Degree: 3

Algebra ->  Functions -> SOLUTION: Form a polynomial whose zeros and degree are given. Zeros: 0, -3, 2 Degree: 3      Log On


   



Question 57796: Form a polynomial whose zeros and degree are given.
Zeros: 0, -3, 2
Degree: 3

Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
Use your given roots
+x+=+0+ and +x+=+-3+ and +x+=+2+
move the constant values on each to the right so that they all = 0
+x+=+0+ and +x+%2B3+=+0+ and +x+-2+=+0+
Multiply all three binomials
+x%28x%2B3%29%28x-2%29+=+0+
FOIL the binomials
+x%28x%5E2+%2B1x+-6%29+=+0+
multiply through by the x
+x%5E3+%2B1x%5E2+-6x+=0+