Question

h(x) = 2x2 + 26 The fundamental theorem of algebra tells you that this polynomial function has x roots ?

Answer 1

Has two roots or could have up to two roots

Answer 2

From the fundamental Theorem of Algebra the given polynomial function has exactly 2 roots.

Explanation:

The fundamental Theorem of algebra states that:

If P(x) is a polynomial of degree n≥1 then P(x)=0 has exactly n roots, including multiplicity and complex roots.

Hence here we have a polynomial function h(x) as:

`h(x)=2x^2+26`

As the polynomial h(x) is of degree 2.

Hence, the polynomial h(x) has 2 roots.