1. If α, β, γ are the zeroes of the cubic polynomial ax³ + bx² + cx + d then αβ + βγ + αγ is equal to

2. If the zeroes of the polynomial x³ - 3x² + x - 1 are \(\frac{s}{t}\), s and st then value of s is

3. If the sum of the zeroes of the polynomial f(x) = 2x³ - 3kx² + 4x - 5 is 6, then the value of k is

4. If a polynomial of degree 4 is divided by quadratic polynomial, the degree of the remainder is

5. If a - b, a and a + b are zeroes of the polynomial fix) = 2x³ - 6x² + 5x - 7, then value of a is

6. Dividend is equal to

7. A quadratic polynomial whose sum of the zeroes is 2 and product is 1 is given by

8. If one of the zeroes of a quadratic polynomial ax² + bx + c is 0, then the other zero is

9. The sum and the product of the zeroes of polynomial 6x² - 5 respectively are

10. What should be subtracted from x³ - 2x² + 4x + 1 to get 1?