Question

Match the following with their answers.

• A. $1+x^2$
• B. $x^2$
• C. $x^4$
• D. $1+x^3+x^6$

Answer 1

The expression can be solved as

(i) $\frac{x^2+x^4}{x^2}$ = $\frac{x^2(1+x^2)}{x^2}$ =$1+x^2$

(ii) $\frac{x^3+x^5}{x+x^3}$ = $\frac{x^2(x+x^3)}{x+x^3}=x^2$

(iii) $\frac{x^6}{x^2}=x^4$
(iv) $\frac{x^3+x^6+x^9}{x^3}$ = $\frac{x^3(1+x^3+x^6)}{x^3}$ = $1+x^3+x^6$