Find the maximum number of zeros the following Polynominal may have. Do not attempt to find zeros.

Question

Find the maximum number of zeros the following Polynominal may have. Do not attempt to find zeros.

 

f(x) = 7x³-4x²+x+8

Answer 1

Three, it's a third degree polynomial. The degree(highest exponent) tells you how many times it crosses the x axis, which are the roots.

Answer 2

Robert,

 

The very good answer provided by Suneil to your other question --

 

http://www.wyzant.com/resources/answers/38167/construct_a_polynominal_function_f_with_the_following_characteristics

 

has the answer for this question. Read it carefully, and I think you will find it.

 

Best wishes.