SOLUTION: Write the simplest polynomial function with the given zeros. -1 , 0 , and 2. A). Write the factored expression . B). Multiply the first two factors. C). Multiply the result

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write the simplest polynomial function with the given zeros. -1 , 0 , and 2. A). Write the factored expression . B). Multiply the first two factors. C). Multiply the result       Log On


   

Question 1007367: Write the simplest polynomial function with the given zeros. -1 , 0 , and 2.
A). Write the factored expression .
B). Multiply the first two factors.
C). Multiply the result by the remaining factor.
D). Combine like terms.
Show work please :) Thanks!
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Write the simplest polynomial function with the given zeros:
x%5B1%5D=+-1 ,
x%5B2%5D=0 , and
x%5B3%5D=2
A). Write the factored expression .
f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29
f%28x%29=%28x-%28-1%29%29%28x-0%29%28x-2%29
f%28x%29=%28x%2B1%29%28x%29%28x-2%29
B). Multiply the first two factors.
f%28x%29=%28x%5E2%2Bx%29%28x-2%29
C). Multiply the result by the remaining factor.
f%28x%29=x%5E3%2Bx%5E2-2x%5E2-2x
D). Combine like terms.
f%28x%29=x%5E3%2B%28x%5E2-2x%5E2%29-2x
f%28x%29=x%5E3-x%5E2-2x