Exploring Polynomials

What is a polynomial?

• A polynomial is a mathematical expression made up of variables and coefficients, involving only non-negative integer exponents.

• A polynomial is a type of function that can have negative exponents.

• A polynomial is a complex number with imaginary parts.

• A polynomial is a geometric shape defined by its vertices.

Identify the polynomial: 3x^2 + 2x - 5

• 3x^2 + 2x - 5

• x^2 + 2x - 5

• 2x^2 + 3x - 5

• 3x^2 - 2x + 5

Classify the polynomial: 4x^3 - 2x + 1

• Linear monomial

• Quadratic binomial

• Cubic trinomial

• Cubic binomial

Is 5 a polynomial? Why or why not?

• 5 is a polynomial of degree 1.

• 5 cannot be a polynomial since it has no variable.

• Yes, 5 is a polynomial.

• 5 is not a polynomial because it is a constant.

Identify the polynomial: x^4 + 3x^2 - 7x + 2

• x^4 + 3x^2 - 7x + 2

• 2x^4 + 3x - 7

• x^3 + 2x^2 - 5x + 1

• x^4 - 3x^2 + 7x - 2

Classify the polynomial: 2x^2 + 3

• Quadratic polynomial

• Constant polynomial

• Cubic polynomial

• Linear polynomial

What is the degree of the polynomial: 6x^5 - 4x^3 + 2?

• 3

• 6

• 5

• 4

Sum the polynomials: (2x + 3) + (4x - 5)

• 4x - 2

• 6x + 3

• 6x - 2

• 2x + 8

Multiply the polynomials: (x + 2)(x - 3)

• x^2 - x - 6

• x^2 + 5x - 6

• x^2 + x + 6

• x^2 - 5

Factor the polynomial: x^2 - 9

• (x - 3)(x - 3)

• (x - 9)(x + 1)

• (x - 6)(x + 6)

• (x - 3)(x + 3)