Which of the expressions below is equal to 4x + 12 ? Select all that apply.

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Step-by-step explanation:

1. Which of the following are monomials? Select all that apply.

Hint: A monomial has one term and is usually in the form ax^n, where n is a nonnegative integer. A constant is also a monomial.

A. –4x2

B. x^2 – 4

C. 4/x

D. 14

E. 4x^–2

For questions 2 – 4, determine whether the expression is a polynomial, and if so, find the degree of the polynomial.

2. 3x^2+4-2x^5 3. 1/2x^3+x/x+1 4. 2/5x^7+3/4x^3-2+x

For questions 5 – 6, write the polynomial in descending order.

5. 3x^3-2x^5-25x+12x^9+6 6. x+9x^12-4x^3+2+3x^2-44x8

7. Which property of polynomials says that the sum of two polynomials is also a polynomial?

A. Closure

B. Commutative

C. Addition property of equality

D. Zero identity

8. Under which operations are polynomials closed?

A. Addition

B. Subtraction

C. Multiplication

D. Division

Use this scenario to answer questions 9 – 10.

The area of a rectangular patio is 4x^2. A square garden is built next to the patio. The total area of the patio and the garden is 4x^2 + 9.

image of the patio attached below.

9. What does the constant term in the polynomial 4x^2 + 9 represent?

Hint: The constant term is 9.

10. What does the coefficient of the variable of 4x^2 + 9 mean in terms of this problem?

Hint: The coefficient of the term 4x^2 is 4.

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