<h3><u>Question:</u></h3>
f(x) = 3x^2 + 4x – 8.
How many zeros does this have?
<h3><u>Answer:</u></h3>
The given function has two zeros
<h3><u>Solution:</u></h3>
According to the "Fundamental Theorem of Algebra", a polynomial of degree "n" has "n" zeroes
Regardless of odd or even, any polynomial of positive order can have a maximum number of zeros equal to its order. For example, a cubic function can have as many as three zeros, but no more. This is known as the fundamental theorem of algebra.
The degree is the value of the greatest exponent of any term (except the constant ) in the polynomial.
Your function is second degree polynomial, so it has two zeroes.
These can be a mix of rational, irrational, and complex zeroes.
