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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

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Tiffany

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97 Answers

1. Divide the leading term of the numerator

(X^2)

by the leading term of the denominator

to get the first term of the quotient:

.
2. Multiply

(X - 4)

to get

X^2 - 4X

.
3. Subtract

(X^2 - 4X)

from

(X^2 - 4X + 1)

to obtain the remainder:

.
4. Since the degree of the remainder

is less than the degree of the denominator

X - 4

, we stop here.

The quotient is

Thus, the equation of the slant asymptote is

Y = X

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

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

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