Q. 24.8( 12 Votes )

# Determine the degree of each of the following polynomials:

(i) 2x – 1

(ii) –10

(iii) x^{3} – 9x + 3x^{5}

(iv) y^{3} (1 – y^{4})

Answer :

(i) 2x – 1

The degree of polynomial 2x – 1 is one (1) because the highest power ( maximum exponent) of the variable x in the given expression is 1

(ii) –10

The degree of polynomial – 10 x^{0} is zero(0) because the highest power( maximum exponent) of the variable x in the given expression is zero (0).

(iii) x^{3} – 9x + 3x^{5}

The degree of polynomial x^{3} – 9x + 3x^{5} is five (5) because the highest power( maximum exponent) of the variable x in the given expression is 5.

(iv) y^{3} (1 – y^{4})

The degree of polynomial y^{3} (1 – y^{4}) is seven (7) because the highest power (maximum exponent) of the variable x in the given expression is 7

∵ y^{3} (1 – y^{4} ) = y^{3} – y^{7}

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