Question

Determine the degree of each of the following polynomials.

(i) $\frac{4x-5x^2+6x^3}{2x}$

(ii) $y^2(y-y^3)$

(iii) $(3x-2)(2x^3+3x^2)$

Answer 1

(i) $\frac{4x-5x^2+6x^3}{2x}$
Here, the highest power of x is 2. So, the degree of the polynomial is 2.

(ii) $y^2(y-y^3)$
Here, the highest power of y is 5. So, the degree of the polynomial is 5.

(iii) $(3x–2)(2x^3+3x^2)=6x^4+9x^3–4x^3–6x^2=6x^4+5x^3–6x^2$
Here, the highest power of x is 4. So, the degree of the polynomial is 4.