How a quadratic polynomial differs from a quadratic equation? Is there any relation between zeroes of a quadratic polynomial and roots of a quadratic equation?
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Mathematics: What is the Difference between a quadratic polynomial and a quadratic equation?
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2 Answers

Nisha Arora
, I love Maths
Answered November 16, 2015
Originally Answered: What is the Difference between a quadratic polynomial and a quadratic equation?
First understand the difference between an expression and an equation.
An expression is something like:
X - 5
2 X + 3 Y
Sin (x) - Cos (2y)
X^ 2 + 3 X - 5
Out of these, third expression is trigonometric, rest all are algebraic.
Now, if you equate each of these expression with a number or another expression, it will be called an equation (contains an equal '=' sign).
For example
X - 5 = 0
2 X + 3 Y = 25
Sin (x) - Cos (2y) = -15
X^ 2 + 3 X - 5 = 2 X
Now, types of algebraic expression/ equation:
Linear- containing only first degree terms of variables (first and second example)
Quadratic - containing second degree term as highest (like x^2, y^2 etc) (see example forth above)
Similarly, we can have cubic, and more higher order equations and polynomials.
Answer:
Quadrantic equation is of a general form where ax² + bx + c = 0. Here, it is equating to 0. Quadrantic Polynomial is just simply a Polynomial with degree 2. Like ax² + bx + c.
Step-by-step explanation:
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