Question

Determine the total number of roots of each polynomial function

g(x) = 5x - 12x2 + 3

Answer 1

The answer is 2,,,,,,,,,

Answer 2

Answer:- The total number of roots in the given polynomial function is 2.

Explanation:-

We know that corollary of Fundamental Theorem of Algebra tells that polynomial will have exactly as many roots(m) as its degree(m>0).

The given polynomial function
`g(x)=5x-12x^2+3` is a quadratic polynomial with degree 2.

Thus by corollary of Fundamental theorem of algebra

The total number of roots in the given polynomial function must be 2.