What is the degree of the polynomial $f (x) = x^{2} - 5 x + 6$ ?

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Solution

Since the highest power of variable x is 2 and coefficient of $x^{2}$ is not zero. So, degree of the polynomial = 2.

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f (x) = \frac{(x^{3} + x^{2} - 4) (x^{3} - 8)}{(x - 2)}

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7 x^{3} + 5 x^{2} + 2 x - 6

α

β

f (x) = x^{2} - 5 x + 6

\frac{α^{2}}{β^{2}} + \frac{β^{2}}{α^{2}}

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