CT 20: Polynomials – II

1.Find the value of 'k' if (x + 3) is a factor of the polynomial f(x) = kx² + √3x − 1.

2. If (x - 3) is a factor of the equation (x²  + 4xp - 3p) , then what is the value of p

3. The expression x² + 2xy + y² - a² + 2ab - b² has one factor as :

4. If (x² - 1) is a factor of f(x) = ax⁴ + 2x³ - 3x² + bx - 4, then the values of 'a' and 'b' respectively are

5. Which of the following is a factor of p(x) = 2x³ - 3x² - x + 4

6. The factors of x² + 4y² + 4y - 4xy - 2x - 8 are:

7. If x - 2 is a factor of x³ + kx² - 2x - 24 then what is the value of k?

8. Factorise the following : x²/4−2x+4

9. A factor of the expression x³ - 2x + 1 is:

10. (x + 1) is a factor of xⁿ + 1 only if n is a/an