Geometry vocabulaqry

What is a polynomial?

• A mathematical expression with variables, coefficients, and exponents combined using addition, subtraction, and multiplication

• A single number without variables

• A geometric shape with four sides

• A type of graph

Answer explanation

A polynomial is defined as a mathematical expression that includes variables, coefficients, and exponents, combined through addition, subtraction, and multiplication. This makes the first choice the correct answer.

What does the term "degree" refer to in a polynomial?

• The number of terms in the polynomial

• The highest exponent of the variable in a polynomial

• The sum of all coefficients

• The number of variables in the polynomial

Answer explanation

In a polynomial, the term "degree" refers to the highest exponent of the variable. This determines the polynomial's behavior and classification, making the correct choice the highest exponent of the variable in a polynomial.

Which operation is defined as the mathematical operation of taking one number or expression away from another?

• Addition

• Multiplication

• Subtraction

• Division

Answer explanation

Subtraction is the operation of taking one number or expression away from another, making it the correct choice. Addition combines numbers, multiplication scales them, and division splits them, but only subtraction removes one from another.

What is the definition of "factors" in the context of polynomials?

• Numbers or expressions that add together to form a polynomial

• Numbers or expressions that multiply together to form a polynomial

• The total number of terms in a polynomial

• The sum of all exponents in a polynomial

Answer explanation

In the context of polynomials, "factors" refer to numbers or expressions that multiply together to form the polynomial. This distinguishes them from terms, which are added together.

What does "interpret" mean in relation to mathematical expressions?

• To solve the expression

• To explain or make sense of mathematical expressions, especially in relation to their context or application

• To add variables to the expression

• To multiply the expression by a constant

Answer explanation

In mathematics, to "interpret" means to explain or make sense of expressions, particularly in their context or application, rather than just solving or manipulating them.

• 2

• 3

• 4

• 5

Answer explanation

The degree of a polynomial is the highest power of the variable. In the polynomial 3x^4 + 2x^2 - 1, the term with the highest power is 3x^4, which has a degree of 4. Therefore, the correct answer is 4.

Which of the following expressions is equivalent to (x + 2)(x - 3)?

Answer explanation

To find the equivalent expression for (x + 2)(x - 3), use the distributive property: x^2 - 3x + 2x - 6 = x^2 - x - 6. Thus, the correct choice is x^2 - x - 6.

• The perimeter of the square

• The length of a side

• The width of the square

• The diagonal of the square

Answer explanation

In a square, the area is calculated as the length of a side squared. Therefore, if the area is represented by x², x must represent the length of a side of the square.

What is the expanded form of 2(x + 3) - 5?

• 2x + 1

• 2x + 6 - 5

• 2x + 3

• 2x + 5

Answer explanation

To expand 2(x + 3) - 5, distribute 2 to get 2x + 6. Then, subtract 5 to get 2x + 1. Thus, the correct answer is 2x + 1.

How do you calculate the perimeter of a rectangle?

• P = l + w

• P = 2l + 2w

• P = l × w

• P = 2l × w

Answer explanation

To calculate the perimeter of a rectangle, use the formula P = 2l + 2w, where l is the length and w is the width. This accounts for both pairs of opposite sides, making it the correct choice.