SOLUTION: Find a fourth-degree polynomial P(x) that has zeros at x = 0, x = 1, x = −1, and x = −4, and whose x^2-term has coefficient 7.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a fourth-degree polynomial P(x) that has zeros at x = 0, x = 1, x = −1, and x = −4, and whose x^2-term has coefficient 7.      Log On


   



Question 848838: Find a fourth-degree polynomial P(x) that has zeros at
x = 0, x = 1, x = −1, and x = −4,
and whose x^2-term has coefficient 7.

Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
x = 0 ----> x
x = 1 ----> x-1
x=-1 ------> x+1
x=4 ------>x-4
x%2A%28x-1%29%2A%28x%2B1%29%2A%28x-4%29
x%5E4+-+4x%5E3+-x%5E2+%2B+4x
We need x^2 to have coefficient 7, but we have -1. So multiply the entire polynomial -7.
-7x%5E4%2B28x%5E3%2B7x%5E2-28x