SOLUTION: Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1. Let b be a constant. What is the smallest possible degree of the polynomial f(x) + b* g(x)?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1. Let b be a constant. What is the smallest possible degree of the polynomial f(x) + b* g(x)?      Log On


   



Question 1165961: Let f(x) = x^4-3x^2 + 2 and g(x) = 2x^4 - 6x^2 + 2x -1. Let b be a constant. What is the smallest possible degree of the polynomial f(x) + b* g(x)?
Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.

The smallest degree is 1.


You will get this degree with  b = -1%2F2.

Solved.