Question

1. If a and B are zeroes of the polynomial 2x²-5x +3, then find the values of (a) a+B-aß (b) (2a+2B)/3aß (c) (a+B)² aß.

3. Find all the zeroes of the polynomial p(x): x4-5x³-4x²+16x-8 if two of its zeroes are 3+ √5 and 3-√5.

4. If a, B and y are the zeroes of the polynomial p (x) = 6x³ +3x² -5x +1, then find the value of a ¹ + B¹ + y ¹.

5. 6. If the sum of the zeroes of the polynomial (k² -14) x² -2x -12 is 1, then find the value of k. If one zero of the polynomial 3x² -8x +2k - 1 is seven times the other, then find the product of its zeroes.​

Answer 1

Answer:

d) If a and B are the zeroes of polynomial p(x) = 4x² – 5x - 1, then find the value of a² + B + aß?