1. Zero of the polynomial p(x) = cx + d is

2. Find the remainder on dividing 5y³ - 2y² - 7y + 1 by y.

3. One of the factors of (16y² - 1) + (1 - 4y)²

4. If a + b + c = 0, then the value of a³ + b³ + c³

5. If x^{\(\frac{1}{3}\)} + y^{\(\frac{1}{3}\)} + z^{\(\frac{1}{3}\)} = 0, then which one of the expression is correct.

6. If the area of the rectangle is 4x² + 4x - 3, then find its possible dimensions.

7. If x + \(\frac{1}{x}\) = 4, then the value of x² + \(\frac{1}{x^2}\)

8. For what value of b, is the polynomial x³ - 3x² + bx - 6 divisible by x - 3?

9. When p(x) is divided by ax - b, then the remainder is

10. What is remainder when x³ - 2x² + x + 1 is divided by x - 1?