Question

Match the vocabulary word with the correct definition:

1. General form of a quadratic equation.
2. Quadratic equation, an equation containing one second-degree variable but no variable of higher degree.

A. 1: Factored form
2: Quadratic equation
B. 1: Vertex form
2: Linear equation
C. 1: Standard form
2: Quadratic equation
D. 1: Vertex form
2: General form

Answer 1

C. 1: Standard form

2: Quadratic equation

Answer 2

Option C correctly matches the vocabulary words with the definitions, as 'Standard form' refers to the general form of a quadratic equation, which is ax² + bx + c, and a 'Quadratic equation' is an equation with a second-degree variable.

Step-by-step explanation:

When discussing the solution of quadratic equations, it is important to understand the various forms these equations can take. A quadratic equation is a type of second-order polynomial, and it commonly represents a quadratic relationship between variables.

The general form of a quadratic equation is expressed as y = ax² + bx + c, where 'a', 'b', and 'c' are constants, and 'x' represents a variable. This form is useful for identifying the coefficients and constant term directly, and it helps in using methods like factoring or the quadratic formula to find solutions.

The correct match for the vocabulary word with the definition given by the student's request is Option C: 1: Standard form 2: Quadratic equation. This is because the 'standard form' refers to the general form of a quadratic equation which is expressed as ax² + bx + c. Option C.