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education/math/Polynomial Fractions.md
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@ -1,10 +1,3 @@
- to find the x intercept, solve the top of the fraction for x
- To find the y intercept, it's the constant term on the top over the constant term on the bottom
- To solve for the vertical asymptote, find the roots of the bottom.
- To solve for the horizontal asymptote:
- if the degree of the leading coefficient on the top is less than the degree on the bottom, $y = 0$.
- If the degree on the top equals the degree on the bottom, y = `Leading Coefficient of Top / Leading Coefficient of Bottom`.
- If the degree on the top is greater than the degree on the bottom, divide to find the slant/oblique asymptote.
| Value | Instructions | Example | | Value | Instructions | Example |
| ---- | ---- | ---- | | ---- | ---- | ---- |
@ -21,4 +14,6 @@ To solve for the y coordinate of a point of discontinuity, take the equation aft
| Term | Definition | | Term | Definition |
| ---- | ---- | | ---- | ---- |
| Degree | The power that a variable is raised to. EG, $x^5$ would have a degree of 5 | | Degree | The power that a variable is raised to. EG, $x^5$ would have a degree of 5 |
| Leading Coefficient | The number that | | Leading Term | The element in the polynomial with the highest degree. EG, in the polynomial $3x^4 + 2x^3 + 5x^2 - 3x + 6$, $3x^4$ would be the leading term because it has the highest degree. |
| Leading Coefficient | The coefficient of the leading term in a polynomial. For example, if the leading term was $3x^4$, the leading coefficient would be $3$. |
| Constant Term | The number in a polynomial that is not multiplied by a variable. EG, $7$. |