Model Polynomials

A rectangle has a height of 3x and a width of 2x - 3.

Express the area of the entire rectangle.

Expression should be expanded.

Consider the following polynomial functions. f(a) = (2a-7+a²) g(a) = (5-a) Which of the following are true?

• The expression that represents the sum of the polynomials is a first-degree polynomial.

• The expression that represents the difference of the polynomials illustrates that polynomials are closed under subtraction.

• The sum of f(a) and g(a) can be represented by the expression a²+a-2

• The different of f(a) and g(a) can be represented by the expression a²+a-12

• The product of f(a) and g(a) can be represented by the expression

  -a³+3a²+17a-35

Which of the following statements about closure is NOT true?

• Polynomials are closed under addition.

• Polynomials are closed under subtraction.

• Polynomials are closed under multiplication.

• Polynomials are closed under division.