Factorisation Worksheet-3

Factorisation Worksheet-3

1. Factors of x² + 4x – 21 are:

(a) (x – 3) (x – 7)                         (b) (x + 7) (x – 3)

(c) (x + 3) (x + 7)                         (d) None of these

2. Factors of 12 – x – x² are:

(a) (x + 2) (x – 3)                         (b) (x + 4) (3 – x)

(c) (x – 2) (x – 3)                         (d) None of these

3. Factors of 27 – 6x – x² are:

(a) (3 – x) (9 + x)                         (b) (x – 3) (x + 9)

(c) (x – 2) (x + 7)                         (d) None of these

4. Factors of x² + 11xy + 24y² are:

(a) (x + 8y) (x + 3y)                     (b) (x + 6y) (x + 3y)

(c) (x – 8y) (x + 3y)                     (d) None of these

5. Factors of x⁶ + 9x³ + 8 are:

(a) (x – 2) (x² + 2x + 4)

(b) (x + 2) (x² – 2x + 4) (x + 1) (x² – x + 1)

(c) (x + 4y) (x – 4y) (x + 2y) (x – 2y)

(d) None of these

6. Factorization of 3x² + 17x + 20 is:

(a) (x + 4) (3x + 5)                       (b) (x – 4) (3x – 5)

(c) (x + 4) (x – 5)                         (d) None of these

7. 3x² – 17x + 20 can be factorised as:

(a) (x + 4) (3x + 5)                       (b) (x – 4) (3x – 5)

(c) (x – 4) (x – 5)                         (d) None of these

8. Factorization of 7x² – 8x – 12 is:

(a) (x + 12) (3x – 20)                  (b) (x – 2) (6x + 7)

(c) (x – 4) (3x – 4)                      (d) (x – 2) (7x + 6)

9. The factors of 6 – x – 2x² are:

(a) (x + 2) (3 – 2x)                      (b) (3 – x) (3x + 2)

(c) (x – 2) (x + 6)                         (d) None of these

10. Factors of 12 – 4x – 5x² are:

(a) (x + 1) (5 – 4x)                       (b) (x + 2) (6 – 5x)

(c) (3x + 4) (4 – x)                      (d) None of these

11. Factors of 4x⁴ – 25x² + 36 are:

(a) (x + 2) (x – 2) (2x + 3) (2x – 3)

(b) (x + 1) (x – 1) (x + 3) (x – 3)

(c) (x + 3) (x – 3) (4x + 3) (4x – 3)

(d) None of these

12. Factors of 8x⁶ – 65x³ + 8 are:

(a) (2x – 1) (4x² + 2x + 1)

(b) (x – 1) (2x – 3) (x – 1) (2x + 3)

(c) (x + 2) (2x – 3) (x – 1) (2x + 3)

(d) (x – 2) (x² + 2x + 4) (2x – 1) (4x² + 2x + 1)

13. Factors of x² – x – 12 are:

(a) (x – 1) (x – 2)                          (b) (x – 2) (x – 3)

(c) (x – 3) (x + 4)                         (d) (x – 4) (x + 3)

14. Expansion of (a + b + c)² is:

(a) a² + b² + c² + 2(ab + bc + ca)

(b) a² + b² + c²

(c) a² + b² + c² + 2ab – 2bc – 2ca

(d) None of these

15. If a² + b² + c² = 44 and ab + bc + ca = 10, then a + b + c is:

(a) ±9                 (b) ±8                 (c) ±7                  (d) ±6

Answer Key:

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