Factorisation Worksheet-5

Factorisation Worksheet-5

1. The factors of are _______.

(a)                 (b)

(c)                 (d)

2. One factor of x⁴ – (x – z)⁴ is _____.

(a) 2x + z           (b) x + 2z           (c) 2x – z           (d) x – 2z

3. One of the factors of is _____.

(a)             (b)        (c)             (d)

4. Reducing the expression to lowest terms, we get ______.

(a)                   (b)       (c) a²                   (d) a – 2b

5. The factors of x⁴ + y⁴ + x²y² are ______.

(a) (x² + y²) (x² + y² – xy)          (b) (x² + y²) (x² – y)

(c) (x² + y² + xy) (x² + y² – xy) (d) Factorization is not possible

(a) 90                 (b) 100               (c) 0                    (d) 1

7. For x² + 2x + 5 to be a factor of x⁴ + px² + q, then the values of p and q must be

(a) –2, 5             (b) 5, 25             (c) 10, 20           (d) 6, 25

8. If 2x + 3y = 24 and 2x – 3y = 12, then the value of xy is ______.

(a) 10                  (b) 12                  (c) 18                  (d) 14

9. One of the factors of (a² – b²) (c² – d²) – 4abcd is _______.

(a) (ac – bd + bc + ad)                (b) ac + bd + bc + ad

(c) Cannot be determined (d) ab + bd – bc – ad

10. If then equals ______.

(a)                  (b)                 (c) 7                    (d) 11

11. The factors of x⁴ + 2x² + 9 is ____.

(a) (x² – 2x + 3) (x² + 2x + 3)

(b) (x² + 3) (x² – 3)

(c) Factorization is not possible

(d) (x + 3) (x –2)

12. One factor of a² – 2ab – c² + b² is ______.

(a) (a – b + c)                                (b) (a + b + c)

(c) (a + b – c )                               (d) None of these

13. One of the factor of a³ + 8b³ – 64c³ + 24abc is

(a) a + 2b – 4c                              (b) a – 2b + 4c

(c) a + 2b + 4c                              (d) a – 2b – 4c

14. Expansion of (2a + 3b + 4c)² is

(a) 4a² + 9b² + 16c² + 12ab + 24bc + 16ca

(b) a² + b² + 2ca

(c) a² – b² – 2ca

(d) a² – b² + 2ca

15. One of the factors of x⁴ + 4 is _____.

(a) x² + 2           (b) x² – 2x + 2  (c) x² – 2            (d) x + 2

Answer Key:

(1)-d; (2)-c; (3)-c; (4)-a; (5)-c; (6)-b; (7)-d; (8)-c; (9)-a; (10)-c; (11)-a; (12)-a; (13)-a; (14)-a; (15)-b