Understanding and Evaluating Polynomials

What is a polynomial?

• An expression with only one term

• A number without any variables

• An algebraic expression that is the sum of one or more monomials

• A mathematical operation

Which of the following is a binomial?

• 5y

• 2x + 3

• 4x^2 + 7x - 2

• 7x^3

How should the terms of a polynomial be arranged in standard form?

• In ascending order of their coefficients

• In descending order of their degrees

• In alphabetical order

• In random order

What is the leading term in the polynomial -7x^5 + x^4 - 3x^2 + 2x - 11?

• 2x

• -7x^5

• x^4

• -11

What is the leading coefficient of the polynomial -7x^5 + x^4 - 3x^2 + 2x - 11?

• 1

• -3

• -7

• 2

When evaluating a polynomial, what is the first step?

• Substitute the given value for the variable

• Add all coefficients

• Multiply all terms

• Divide by the highest degree

What is the value of the polynomial 3x^2 - 4x + 1 when x = -2?

• 16

• -21

• 21

• -16

What is the value of the polynomial 3x^2 - 4x + 1 when x = 3?

• 9

• 12

• 16

• 21

If x is replaced by m in the polynomial 3x^2 - 4x + 1, what is the resulting expression?

• 3m^2 - 4m - 1

• 3m^2 + 4m + 1

• 3m^2 + 4m - 1

• 3m^2 - 4m + 1

What is the expression when x is replaced by 2y in the polynomial 3x^2 - 4x + 1?

• 12y^2 + 8y - 1

• 12y^2 - 8y - 1

• 12y^2 + 8y + 1

• 12y^2 - 8y + 1