Question

$28x^4÷56x=$ ______

• A. $\frac{1}{2}{x}^2$
• B. $2x^3$
• C. $\frac{1}{2}{x}^3$
• D. $2x^2$

Answer 1

The correct option is C $\frac{1}{2}{x}^3$

The irreducible forms of $28x^4$ and $56x$ are given by,
$28x^4=2\times 2\times 7\times x\times x\times x\times x56x=2\times 2\times 2\times 7\times x\therefore 28x^4÷56x=\frac{28x^4}{56x}=\frac{2\times 2\times 7\times x\times x\times x\times x}{2\times 2\times 2\times 7\times x}=\frac{x^3}{2}=\frac{1}{2}{x}^3$