Considering Possible Solutions (4.5.2)

Question 1

• If the polynomial has integer coefficients, then every rational zero of f has the form where p and q have no common factors other than 1, p is a factor of a0, and q is a factor of an. (The factors of a0 and an include all positive and negative factors.)

Answer 1

• If the polynomial has integer coefficients, then every rational zero of f has the form where p and q have no common factors other than 1, p is a factor of a0, and q is a factor of an. (The factors of a0 and an include all positive and negative factors.)

Question 2

• Any function of degree n will have n roots, or zeroes, in some mixture of real and imaginary numbers.

Answer 2

• Any function of degree n will have n roots, or zeroes, in some mixture of real and imaginary numbers.