Question

The graph of a quadratic function is shown above.

According to the fundamental theorem of algebra, the function above has [___] real zeros and [___] complex zeros.

Answer 1

• 0 real zeros
• 2 complex zeros

Explanation:

The "fundamental theorem of algebra" says a polynomial of degree n will have n zeros. If the polynomial has real coefficients, the complex zeros will appear in conjugate pairs.

The graph of this quadratic (degree = 2) does not cross the x-axis, so there are no real values of x that make y=0. That means the two zeros are both complex.