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  • 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})

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})

Answers (1)

(i) One

(ii) Zero

(iii) Five

(iv) Seven

Solution

Degree of polynomial: Degree of polynomial is the highest power of the polynomial’s monomial with non-zero coefficient

(i) 2x-1  Here highest power of x is one therefore degree is one.

(ii) -10  Here –10 can be written as -10.x^{0}  hence the degree of polynomial is zero or we can say that it is a constant polynomial.

(iii) x^{3}-9x+3x^{5}  Here highest power of x is Five therefore degree is Five.

(iv) y^{3}(1-y^{4})  Here y^{3}(1-y^{4})=y^{3}-y^{7}  Highest power of y is seven therefore degree is seven.

 

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