Find the degree of each of the polynomials given below
(i) $x^{5} - x^{4} + 3$
(ii) $x^{2} + x - 5$
(iii) $5$
(iv) $3 x^{6} + 6 y^{3} - 7$
(v) $4 - y^{2}$
(vi) $5 t - \sqrt{3}$

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Solution

Degree of each polynomial,
$i) . x^{5} - x^{4} + 3$
Degree means the highest power of exponent in a polynomial.
$\Rightarrow$ So, Degree $= 5$
$i i) . x^{2} + x - 5$
$\Rightarrow$ Degree $= 2$
$i i i) . 5$
$\Rightarrow$ Degree $= 0$
$i v) . 3 x^{6} + 6 y^{3} - 7$
$\Rightarrow$ Degree $= 6$
$v) . 4 - y^{2}$
$\Rightarrow$ Degree $= 2$
$v i) . 5 t - \sqrt{3}$
$\Rightarrow$ Degree $= 1$
Hence, solved.

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