(7x^2 5x) ÷ x = 7x^2 5xx = 7x^2x 5xx = 7× x× xx 5× xx = 7x 5 Alternative Method: 7x^2 5xx = 7x^2 1 5x^1 1 = 7x^1 ...

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Division of Polynomials

Solve: 7x2 ...

Question

Solve: $(7 x^{2} - 5 x) \div x$

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Solution

$(7 x^{2} - 5 x) \div x = \frac{7 x^{2} - 5 x}{x}$
$= \frac{7 x^{2}}{x} - \frac{5 x}{x}$
$= \frac{7 \times x \times x}{x} - \frac{5 \times x}{x}$
$= 7 x - 5$
Alternative Method:
$\frac{7 x^{2} - 5 x}{x} = 7 x^{2 - 1} - 5 x^{1 - 1}$
$= 7 x^{1} - 5 x^{0} = 7 x - 5 (1)$
$[∵ a^{0} = 1]$
$= 7 x - 5$

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