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Question

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

(i) f(x) = 0

(ii) g(x) = 2x3 − 7x + 4

(iii) h(x) = -3x+12

(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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