CT 14: Polynomials – II

1.For what value of k, (x – 5) is a factor of x³ – 3x² + kx – 10?

2. Which one of the following is a factor of the polynomial

(x - 1)(x - 2)(x - 4) - 90 ?

3. The value of 16x⁴ + 25y² – 40x²y at x = 5 and y = 2 is:

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

5. On dividing x² + x − 4 by a polynomial g(x), the quotient and the remainder are (x - 2) and 2 respectively. Then g(x) =

6. Find the zeros of the polynomial x² - 2x - 8.

7. (x⁴ + 5x³ + 6x²) is equal to -

8. Factors of the polynomial x² - 3x - 10 are:

9. If (x - 1) is a factor of x⁵ - 4x³ + 2x² - 3x + K = 0, then K is

10. Find the remainder when 2x³- 9x² + x + 12 is divided by x - 1.