Answer: the maximum number of zeros that the polynomial function
f(x)= 4x^9+5x^8+4x^6+9x+1 is 9
Step-by-step explanation:
Firstly, it is important to rearrange the function in decreasing order. The function will now be f (x) = 4x^9+5x^8+4x^6+9x+1
Secondly, for finding the zeros, it is necessary to find the degree of the function. The maximum number of zeroes in a polynomial is the degree of the function. The degree of a function is the highest value of exponents in the function. Here, in this function, the degree is 9.
Lastly, the degree of the function is the number of zeroes. Since the degree is 9, the number of zeroes possible is also 9.