Identify which of the below expressions are polynomials and state the reason.
(a). √4x^2 – 3
(b). √x^2/6 - 2X+3
(c). x^2 - 3x^(3/2) - 2
(d). x^3 ( 5 - 4x + x^2)
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The Fundamental Theorem of Algebra tells you that the polynomial has at least one root. The Factor Theorem tells you that if r is a root then (x−r) is a factor. But if you divide a polynomial of degree n by a factor (x−r), whose degree is 1, you get a polynomial of degree n−1.
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