Trinomial
Trinomial[edit | edit source]
A trinomial is a mathematical expression that consists of three terms connected by addition or subtraction. It is a type of polynomial, which is an algebraic expression with one or more terms. Trinomials are commonly encountered in algebra and are used to solve various mathematical problems.
Definition[edit | edit source]
In mathematics, a trinomial is defined as a polynomial with three terms. Each term can be a constant, a variable, or a combination of both. The terms are connected by addition or subtraction operators. The general form of a trinomial is:
ax^2 + bx + c
Here, 'a', 'b', and 'c' represent coefficients, and 'x' is the variable. The coefficient 'a' must be non-zero for the expression to be considered a trinomial.
Factoring Trinomials[edit | edit source]
Factoring trinomials is an important skill in algebra. It involves breaking down a trinomial into its constituent factors. This process helps in simplifying expressions and solving equations. There are various methods for factoring trinomials, including:
1. Factoring by grouping: This method involves grouping the terms of the trinomial in pairs and factoring out the common factors.
2. Factoring by trial and error: In this method, one tries different combinations of factors to find the correct factorization of the trinomial.
3. Factoring using special formulas: Certain trinomials can be factored using special formulas, such as the difference of squares or the perfect square trinomial formula.
Applications[edit | edit source]
Trinomials find applications in various fields of mathematics and science. Some common applications include:
1. Quadratic equations: Quadratic equations are a type of equation that involves a trinomial with a squared term. They are used to solve problems related to motion, physics, and engineering.
2. Algebraic expressions: Trinomials are often used to represent algebraic expressions in various mathematical problems. They help in simplifying complex expressions and solving equations.
3. Polynomial interpolation: Trinomials are used in polynomial interpolation, which is a method for estimating values between known data points. This technique is widely used in data analysis and curve fitting.
See Also[edit | edit source]
References[edit | edit source]
Search WikiMD
Ad.Tired of being Overweight? Try W8MD's physician weight loss program.
Semaglutide (Ozempic / Wegovy and Tirzepatide (Mounjaro / Zepbound) available.
Advertise on WikiMD
|
WikiMD's Wellness Encyclopedia |
| Let Food Be Thy Medicine Medicine Thy Food - Hippocrates |
Translate this page: - East Asian
中文,
日本,
한국어,
South Asian
हिन्दी,
தமிழ்,
తెలుగు,
Urdu,
ಕನ್ನಡ,
Southeast Asian
Indonesian,
Vietnamese,
Thai,
မြန်မာဘာသာ,
বাংলা
European
español,
Deutsch,
français,
Greek,
português do Brasil,
polski,
română,
русский,
Nederlands,
norsk,
svenska,
suomi,
Italian
Middle Eastern & African
عربى,
Turkish,
Persian,
Hebrew,
Afrikaans,
isiZulu,
Kiswahili,
Other
Bulgarian,
Hungarian,
Czech,
Swedish,
മലയാളം,
मराठी,
ਪੰਜਾਬੀ,
ગુજરાતી,
Portuguese,
Ukrainian
Medical Disclaimer: WikiMD is not a substitute for professional medical advice. The information on WikiMD is provided as an information resource only, may be incorrect, outdated or misleading, and is not to be used or relied on for any diagnostic or treatment purposes. Please consult your health care provider before making any healthcare decisions or for guidance about a specific medical condition. WikiMD expressly disclaims responsibility, and shall have no liability, for any damages, loss, injury, or liability whatsoever suffered as a result of your reliance on the information contained in this site. By visiting this site you agree to the foregoing terms and conditions, which may from time to time be changed or supplemented by WikiMD. If you do not agree to the foregoing terms and conditions, you should not enter or use this site. See full disclaimer.
Credits:Most images are courtesy of Wikimedia commons, and templates Wikipedia, licensed under CC BY SA or similar.
Contributors: Prab R. Tumpati, MD
