SOLUTION: Find a degree 4 polynomial f(x) with zeros at x = −1,2,4 and x = 7 that satisfies f(1) = −168.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find a degree 4 polynomial f(x) with zeros at x = −1,2,4 and x = 7 that satisfies f(1) = −168.       Log On


   

Question 797528: Find a degree 4 polynomial f(x) with zeros at x = −1,2,4 and x = 7 that satisfies
f(1) = −168.
Answer by jerryguo41(197) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=a%28x%2B1%29%28x-2%29%28x-4%29%28x-7%29
To find a set f(1)=-168 solve for a:
-168=a%281%2B1%29%281-2%29%281-4%29%281-7%29
-168=-36a
a=4%2824%2F36%29
a=168%2F36 or a=14%2F3
Final Equation:
f%28x%29=%2814%2F3%29%28x%2B1%29%28x-2%29%28x-4%29%28x-7%29