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Question

Write the degrees of each of the following polynomials:

(i) 7x3 + 4x2 − 3x + 12

(ii) 12 − x + 2x3

(iii) 5y-2

(iv) 7

(v) 0

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Solution

(i) 7x3 + 4x2 − 3x + 12

Degree of the polynomial = 3

Because the highest power of x is 3.

(ii)

Degree of the polynomial = 3. Because the highest power of x is 3.

(iii)

Degree of the polynomial = 1. Because the highest power of y is 1.

(iv) 7

Degree of the polynomial = 0. Because there is no variable term in the expression

(v) 0

Degree of the polynomial is not defined. As there is no variable or constant term


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