SOLUTION: Find a degree 3 polynomial that has zeros - 2, 1 and 7 and in which the coefficient of x^2 is -12.

Algebra ->  Real-numbers -> SOLUTION: Find a degree 3 polynomial that has zeros - 2, 1 and 7 and in which the coefficient of x^2 is -12.       Log On


   

Question 1060626: Find a degree 3 polynomial that has zeros - 2, 1 and 7 and in which the coefficient of x^2 is -12.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%2B2%29%28x-1%29%28x-7%29=0
%28x%5E2%2Bx-2%29%28x-7%29=0
x%5E3-6x%5E2-9x%2B14=0

You want to choose the factor which changes -6x%5E2 into -12x%5E2; and this factor will be 2.

2%28x%5E3-6x%5E2-9x%2B14%29=0

highlight%282x%5E3-12x%5E2-18x%2B28=0%29