CT 13: Polynomials – I

1.If x - 2 is a factor of x² + 3ax - 2a, then a = 

2. The order of the polynomial is 

3. When (x⁴ - 3x³ + 2x² - 5x + 7) is divided by (x - 2), then the remainder is-

4. If the expression x³ + 3x² + 4x + k has a factor x + 5, then what is the value of k?

5. Find the remainder when f(x) = 3x³ - 5x² + 2x + 8 is divided by g(x) = 2x - 1.

6. If (x + 3) is a factor of a² + 12x - 13,  then what is the value of a?

7. If −4 is a zero of the polynomial x² − x − (2 + 2k), then the value of k is

8. If (x - 2) is a factor of x³ + kx² - 2x - 24, then the value of k is-

9. What should be subtracted from x⁴ + x³ - 2x² + x + 1 such that it is divisible by x – 1?

10. If (x - a) is a factor of 4x³ + 2ax² - 6a²x + b, then the value of b =