From 85a2ebc4598cef314d3ffc86e17f5141cbf4bdfd Mon Sep 17 00:00:00 2001 From: zleyyij Date: Tue, 16 Jan 2024 09:23:57 -0700 Subject: [PATCH] vault backup: 2024-01-16 09:23:57 --- education/math/Polynomial Fractions.md | 11 +++-------- 1 file changed, 3 insertions(+), 8 deletions(-) diff --git a/education/math/Polynomial Fractions.md b/education/math/Polynomial Fractions.md index 4ad2b6c..a8da689 100644 --- a/education/math/Polynomial Fractions.md +++ b/education/math/Polynomial Fractions.md @@ -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 | | ---- | ---- | ---- | @@ -21,4 +14,6 @@ To solve for the y coordinate of a point of discontinuity, take the equation aft | Term | Definition | | ---- | ---- | | Degree | The power that a variable is raised to. EG, $x^5$ would have a degree of 5 | -| Leading Coefficient | The number that | \ No newline at end of file +| 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, $7$. | \ No newline at end of file