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Degree of a Polynomial

Write the deg...

Question

Write the degrees of each of the following polynomials :

(i) $7 x^{3} + 4 x^{2}$ - 3x + 12

(ii) 12 - x + $2 x^{3}$

(iii) 5y - $\sqrt{2}$

(iv) 7

(v) 0

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Solution

(i) Degree of the polynomial $7 x^{3} + 4 x^{2}$ - 3x + 12 is 3

(ii) Degree of the polynomial 12 - x + $2 x^{3}$ is 3

(iii) Degree of the polynomial 5y - $\sqrt{2}$ is 1

(iv) Degree of the polynomial 7 is 0

(v) Degree of the polynomial 0 is undefined.

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Similar questions

Write each of the polynomial listed below as a product of two first degree polynomials:

(i) 2x² + 5x + 3

(ii) x² + 2x − 1

(iii) x² + 3x + 2

(iv) x² − 2

(v) 4x² + 20x + 25

(vi) x² − x − 1

5 x^{3} + 4 x^{2} + 7 x

4 - y^{2}

5 t - \sqrt{7}

\sin x = \frac{1}{2}

\cos x = - \frac{\sqrt{3}}{2}

cosec x = - \sqrt{2}

\sec x = \sqrt{2}

\tan x = - \frac{1}{\sqrt{3}}

\sqrt{3} \sec x = 2

Identify constant, linear, quadratic and cubic polynomials from the following polynomials :

(i) f(x) = 0

(ii) g(x) = $2 x^{3}$ - 7x + 4

(iii) h(x) = - 3x + $\frac{1}{2}$

(iv) p(x) = $2 x^{2}$ - x + 4

(v) q(x) = 4x + 3

(vi) r(x) = $3 x^{3} + 4 x^{2}$ + 5x - 7

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