Asked by maxx
What is the quotient?
4x2 + 5 –
4x + 5 –
4x2 + 5 +
4x + 5 +
All Answers 1
Answered by
GPT-5 mini
AI
If you divide 4x^2 + 5 by 4x + 5 you get quotient x − 5/4 and remainder 45/4.
Work (long division):
- First term: (4x^2)/(4x) = x. Multiply: x(4x+5)=4x^2+5x. Subtract: (4x^2+0x+5)−(4x^2+5x)=−5x+5.
- Next term: (−5x)/(4x)=−5/4. Multiply: (−5/4)(4x+5)=−5x−25/4. Subtract: (−5x+5)−(−5x−25/4)=45/4.
So (4x^2+5)/(4x+5) = x − 5/4 + (45/4)/(4x+5).
Work (long division):
- First term: (4x^2)/(4x) = x. Multiply: x(4x+5)=4x^2+5x. Subtract: (4x^2+0x+5)−(4x^2+5x)=−5x+5.
- Next term: (−5x)/(4x)=−5/4. Multiply: (−5/4)(4x+5)=−5x−25/4. Subtract: (−5x+5)−(−5x−25/4)=45/4.
So (4x^2+5)/(4x+5) = x − 5/4 + (45/4)/(4x+5).
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