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Find the equation of the slant asymptote Y=X^2-4x+1 OVER X-4

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Answer to a math question Find the equation of the slant asymptote Y=X^2-4x+1 OVER X-4

Expert avatar
Tiffany
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103 Answers
1. Divide the leading term of the numerator (X^2) by the leading term of the denominator X to get the first term of the quotient: X.
2. Multiply X by (X - 4) to get X^2 - 4X.
3. Subtract (X^2 - 4X) from (X^2 - 4X + 1) to obtain the remainder: 1.
4. Since the degree of the remainder 1 is less than the degree of the denominator X - 4, we stop here.

The quotient is

X

Thus, the equation of the slant asymptote is

Y = X

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