Understanding Polynomials

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

• 5

• 4

• 3

• 2

Which of the following is a polynomial of degree 2?

• 3x^2 + 2x + 1

• x + 4

• 4x^2 - 3x + 7

• 2x^3 + 5

What is the result of dividing the polynomial x^3 + 2x^2 - x by x + 1?

• x^2 + 2x - 1 with a remainder of 0

• x^2 - x + 3 with a remainder of 1

• x^2 + 3x - 2 with a remainder of 4

• x^2 + x - 2 with a remainder of 2

Which of the following is a factor of the polynomial x^2 - 5x + 6?

• (x + 2)(x + 3)

• (x - 2)(x - 3)

• (x - 4)(x - 5)

• (x - 1)(x - 6)

What is the degree of the polynomial 7x^5 - 3x^2 + 2?

• 3

• 5

• 2

• 5x

How many roots does the polynomial equation x^2 + 4 = 0 have?

• 4

• 1

• 3

• 2

What is the first step in polynomial long division?

• Divide the leading terms.

• Multiply the leading terms.

• Add the coefficients of the terms.

• Factor the polynomial.

Which of the following polynomials can be factored as (x - 3)(x + 2)?

• x^2 + x - 6

• x^2 - 5

• x^2 + 5x + 6

• x^2 - x - 6

What is the remainder when dividing 2x^4 + 3x^3 - x + 1 by x - 1?

• 5

• 3

• 4

• 6

What is the sum of the roots of the polynomial x^2 - 6x + 8?

• 4

• 6

• 10

• 8