Question

Find remainder. (x²+ 4x + 4) ÷ (x + 2)​

Answer 1

Question :-

➻ Find the remainder :-

• ( x² + 4x + 4 ) ÷ ( x + 2 )

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Answer :-

• Remainder = 0

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Explanation :-

$\Longrightarrow \: \: \: \sf{ \frac{ {x}^{2} \: + \: 4x \: + 4}{x \: + \: 2} }$

$\Longrightarrow \: \: \: \sf{ \frac{ {x}^{2} \: + \: 2x \: + 2x \: + \: 4 }{x \: + \: 2} }$

$\Longrightarrow \: \: \: \sf{ \frac{x \: (x + 2) \: + \: 2 \: (x + 2)}{x \: + \: 2} }$

$\Longrightarrow \: \: \: \sf{ \frac{(x + 2) \: (x + 2)}{x \: + \: 2} = x \: + \: 2 }$

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Hence :-

• Remainder = 0
• Quotient = x + 2

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