Review of Quadratic Equations

Flashcards containing key terms and definitions related to quadratic equations and their properties.

Quadratic Polynomial

A polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.

Roots of a Quadratic Equation

Values of the variable that satisfy the equation ax² + bx + c = 0.

Coefficient

A numerical or constant quantity placed before a variable in an algebraic expression.

Discriminant

In a quadratic equation, the discriminant is given by b² - 4ac, and determines the nature of the roots.

Real Roots

The values for which the graph of the equation intersects the x-axis.

Equal Roots

If the discriminant of a quadratic equation is zero, the equation has two equal real roots.

Sum of Roots

In a quadratic equation ax² + bx + c = 0, the sum of the roots is given by -b/a.

Product of Roots

In a quadratic equation ax² + bx + c = 0, the product of the roots is given by c/a.

Factorization

A method of rewriting an expression as a product of its factors, often used in solving quadratic equations.

Quadratic Formula

The formula x = (-b ± √(b² - 4ac)) / (2a) used to find the roots of a quadratic equation.

Form of ax² + bx + c = 0

Standard form of a quadratic equation, where a ≠ 0.

Variable Power

The exponent to which a variable is raised in an algebraic expression.

Rectangular Area Equation

An equation expressing the relationship between the length and width of a rectangle.

Profit Percentage

A measure that represents the profit as a percentage of the cost price.

Stream Velocity Problem

A common kind of problem in math involving boats and current, affecting travel time.

Consecutive Numbers

Numbers that follow each other in order, such as 1, 2, 3 or 3, 4, 5.

Two-Digit Number Problem

Algebraic expressions that involve and relate to a number consisting of two digits.