SOLUTION: Find a degree 3 polynomial function having zeros -1, 1 and -2 and leading coefficient -6. (Give your answer as a function, with y as the output. You do not need to simplify your an

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a degree 3 polynomial function having zeros -1, 1 and -2 and leading coefficient -6. (Give your answer as a function, with y as the output. You do not need to simplify your an      Log On


   

Question 1127292: Find a degree 3 polynomial function having zeros -1, 1 and -2 and leading coefficient -6. (Give your answer as a function, with y as the output. You do not need to simplify your answer.)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a polynomial f%28x%29 of degree 3 that has the following zeros:

x%5B1%5D=+-1
x%5B2%5D=+1
x%5B3%5D=+-2
a=+-6
f%28x%29=+a%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29
f%28x%29=+-6%28x-%28-1%29%29%28x-1%29%28x-%28-2%29%29
f%28x%29=+-6%28x%2B1%29%28x-1%29%28x%2B2%29
f%28x%29=+-6%28x%5E2-1%29%28x%2B2%29
f%28x%29=+-6%28x%5E3%2B2x%5E2-x-2%29
f%28x%29=+-6x%5E3-12x%5E2%2B6x%2B12

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C-6x%5E3-12x%5E2%2B6x%2B12%29+