CT 14: Polynomials – II

1.Find the degree of the polynomial 2x⁵ + 2x³y³ + 4y⁴ + 5.

2. Factorize x² - y² - 9z² + 6yz

3. One of the factors of x² - z² + y² - 2xy is:

4. If (x - 1) and (x + 1) are two factors of the polynominal x⁶ - 1, then its other factors are

5. (x² + y² - z²)² - (x² - y² + z²)² = ________

6. Find the product of (3x² + 2x + 5) and 8(1 - x).

7. One of the factors of 4x² + 9y² + 12xy + 2x + 3y - 20 is

8. If 4x² - 40x + 10 = 0, then the value of x² - 10x + 5 equals to:

9. Find the degree of the polynomial 4x⁴ + 3x³ + 2x² + x + 1.

10. 3x(x - 4) - x² is equivalent to?