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

(i) f(x) = 0

(ii) g(x) = 2x³ − 7x + 4

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

(iv) p(x) = 2x² − x + 4

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

(vi) r(x) = 3x³ + 4x² + 5x − 7

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Solution

(i)

The given expression is a Constant polynomial as there is no variable term in it.

(ii)

The given expression is Cubic polynomial as the highest exponent of x is 3.

(iii)

The given expression is linear polynomial as the highest exponent of x is 1.

(iv)

The given expression is Quadratic polynomial as the highest exponent of x is 2.

(v)

The given polynomial is an linear polynomial as the highest exponent of x is 1.

(vi)

The given polynomial is Cubic polynomial as the highest exponent of x is 3.

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Similar questions

Identify polynomials in the following :

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

(ii) g(x) = $2 x^{3} - 3 x^{2} + \sqrt{x} - 1$

(iii) p(x) = $\frac{2}{7} x^{2} - \frac{7}{4} x + 9$

(iv) q(x) = $2 x^{2} - 3 x + \frac{4}{x} + 2$

(v) h(x) = $x^{4} - x^{\frac{3}{2}} + x - 1$

(vi) f(x) = 2 + $\frac{3}{x} + 4 x$

\sqrt{x}

\frac{2}{3} x^{2} - \frac{7}{4} x + 9

\frac{4}{x}

x^{4} - x^{\frac{3}{2}} + x - 1

2 + \frac{3}{x} + 4 x

P (x) = {5 x}^{5} + {3 x}^{3} - 7

g (x) = {2 x}^{2} + 1

x^{3} + 4 x^{2} - 5 x + 6

p (x) [g (x) \times q (x)] + r (x)

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