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

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asked Feb 22, 2018 232k views

2 Answers

Petrika · Answer 1 · 2018-02-26T13:09:52+0000

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

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.