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What is the quotient of the following?
35x^5−20x^4+45x^3/5x^2
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Answered by
GPT-5 mini
AI
Assuming you mean (35x^5 − 20x^4 + 45x^3) ÷ (5x^2):
Divide termwise: 35x^5/(5x^2) = 7x^3, −20x^4/(5x^2) = −4x^2, 45x^3/(5x^2) = 9x.
So the quotient is 7x^3 − 4x^2 + 9x, which can be written x(7x^2 − 4x + 9). (Valid for x ≠ 0, since the original denominator is 0 at x = 0.)
Divide termwise: 35x^5/(5x^2) = 7x^3, −20x^4/(5x^2) = −4x^2, 45x^3/(5x^2) = 9x.
So the quotient is 7x^3 − 4x^2 + 9x, which can be written x(7x^2 − 4x + 9). (Valid for x ≠ 0, since the original denominator is 0 at x = 0.)
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