Exploring Addition and Subtraction of Polynomials

Which of the following is a valid monomial?

• 5 + x

• 12

• x^(-1)

• x^y

What is the term for the number in front of a variable in a monomial?

• Variable

• Constant

• Coefficient

• Exponent

Which of the following is NOT a polynomial?

• 2x + 3

• x^2 + 3x - 4

• x + 7

• 5x^(-1)

What do you call a polynomial with two terms?

• Quadrinomial

• Trinomial

• Binomial

• Monomial

In a polynomial, what is the term for the highest power of the variable?

• Leading coefficient

• Degree

• Exponent

• Constant term

What is the leading coefficient in the polynomial -x^3 + 3x + 15?

• 15

• -1

• 3

• 0

What is the degree of the polynomial -10x^6 + 14x^4 + 12x^2?

• 2

• 6

• 10

• 4

When adding polynomials, what must be true for terms to be combined?

• Same variable and exponent

• Same coefficient

• Same constant term

• Same degree

What is the result of adding 2x^3 - 5x^2 + x and x^3 + 2x^2 - 1?

• 3x^3 - 3x^2 + 2x - 1

• 3x^3 - 7x^2 + x - 1

• x^3 - 3x^2 + x - 1

• 3x^3 - 3x^2 + x - 1

What is the perimeter of a triangle with sides x + 7, 3x + 8, and 9x - 4?

• 13x + 15

• 12x + 15

• 13x + 11

• 12x + 11