SOLUTION: Find a polynomial function f(x) of the indicated degree with integer coefficients that possesses the given rational zeros. Degree: 4 Zeros:-3, 1/2, 1, 2

Algebra ->  Expressions-with-variables -> SOLUTION: Find a polynomial function f(x) of the indicated degree with integer coefficients that possesses the given rational zeros. Degree: 4 Zeros:-3, 1/2, 1, 2       Log On


   

Question 955432: Find a polynomial function f(x) of the indicated degree with integer coefficients that possesses the given rational zeros.
Degree: 4
Zeros:-3, 1/2, 1, 2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Degree: 4
Zeros:x%5B1%5D=-3, x%5B2%5D=1%2F2,x%5B3%5D=+1,x%5B4%5D=+2
use zero product rule:
f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29
f%28x%29=%28x-%28-3%29%29%28x-1%2F2%29%28x-1%29%28x-2%29
f%28x%29=%28x%2B3%29%28x-1%2F2%29%28x-1%29%28x-2%29
f%28x%29=%28x%5E2-%281%2F2%29x%2B3x-3%2F2%29%28x%5E2-2x-x%2B2%29
f%28x%29=%28x%5E2%2B%285%2F2%29x-3%2F2%29%28x%5E2-3x%2B2%29
f%28x%29=x%5E4-x%5E3%2F2-7x%5E2%2B19x%2F2-3


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E4-x%5E3%2F2-7x%5E2%2B19x%2F2-3%29+