Factorisation Worksheet-1

Factorisation Worksheet-1

1. The real factors of x² + 4 are:

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

(c) does not exist                          (d) None of these

2. One of the factors of x⁴ + 4 is:

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

(c) x² – 2                                        (d) None of these

3. 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) None of these

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

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

5. The factors of x² + xy – 2xz – 2yz are:

(a) (x – y) (x + 2z)                        (b) (x + y) (x – 2z)

(c) (x – y) (x – 2z)                        (d) (x + y) (x + 2z)

6. The number of factors of (x⁹ – x) is:

(a) 5                                                 (b) 4

(c) 2                                                 (d) cannot be determined

7. The factors of  are:

(a)                        (b)

(c)                        (d) None of these

8. The factors of 1 – p³ are:

(a) (1 – p) (1 + p + p²)                 (b) (1 + p) (1 – p – p²)

(c) (1 + p) (1 + p²)                        (d) (1 + p) (1 – p²)

9. The factors of x⁴ + y⁴ + x²y² are:

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

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

10. The factors of 15x² – 26x + 8 are:

(a) (3x – 4) (5x + 2)                    (b) (3x – 4) (5x – 2)

(c) (3x + 4) (5x – 2)                    (d) (3x + 4) (5x + 2)

11. One of the factors of a³(b – c)³ + b³(c – a)³ + c³(a – b)³ is:

(a) a – b             (b) b – c             (c) c – a              (d) All the above

12. 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

13. The value of is:

(a) 0.52              (b) 1                    (c) 0.01              (d) 0.1

14. The factors of a² + b – ab – a are:

(a) (a – 1) (a – b)                          (b) (a + b) (a – 1)

(c) (a + 1) (a – b)                          (d) None of these

15. One of the factors of is:

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

Answer Key:

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