Given a Irrational Factor | Find All the Zeros of the Polynomials

What is the result when multiplying (X - sqrt 2) and (X + sqrt 2)?

• X^2 - 4

• X^2 + 4

• X^2 + 2

• X^2 - 2

Why can't synthetic division be used with the factor X^2 - 2?

• Because it is not a polynomial

• Because it is not a linear factor

• Because it is not a quadratic factor

• Because it is not a constant factor

What is the remainder when the polynomial is divided by X^2 - 2 using synthetic division?

• 0

• 2

• 1

• 3

Which of the following is a zero of the polynomial given the factorization X - 6 and X + 1?

• X = -2

• X = 6

• X = 0

• X = 2

What are the zeros of the polynomial when considering the factors X - sqrt 2 and X + sqrt 2?

• ± sqrt 3

• ± sqrt 2

• ± sqrt 1

• ± sqrt 4