Question 27

Q6Short answerExercise 2.4

For which values of a and b, are the zeroes of q(x) = x3 + 2x2 + a also the zeroes of the polynomial p(x) = x5 – x4 – 4x3 + 3x2 + 3x + b? Which zeroes of p(x) are not the zeroes of q(x)?

Show answer

a = –1, b = –2 1 and 2 are the zeroes of q(x) which are not the zeroes of p(x).