Mention the type of polynomial based on the degree
a) $- 5 x^{4} + 5 x^{3} + 9 x + 6$
b) $2 x^{2} + 9 x + 6$

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Solution

(i) If the polynomial is with degree 1 it is a Linear Polynomial.
If the polynomial is with degree 2 it is a Quadratic polynomial
If the polynomial is with degree 3 it is a Cubic polynomial.

a) The degree of the polynomial $5 x^{4} + 5 x^{3} + 9 x + 6$ is 4. Hence, it is a biquadratic.
b) The degree of the polynomial $2 x^{2} + 9 x + 6$ is 2. hence, it is a Quadratic polynomial.

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Mention the type of polynomial based on the degree
a) $- 5 x^{4} + 5 x^{3} + 9 x + 6$
b) $2 x^{2} + 9 x + 6$

For the polynomial 5x³-root 7x²+9x-3 write the

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(\sqrt{2 x^{2} + 1} + \sqrt{2 x^{2} - 1})^{6} + {(\frac{2}{\sqrt{2 x^{2} + 1} + \sqrt{2 x^{2} - 1}})}^{6}

x^{4}

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