(A) Factorization of the quadratic expression ax2 + bx + c
Resolve into factors each of the following: 1. x2 + 7x +12 2. x2 + 9x + 20 3. d2 + 10d +21 4. z2 – 7z – 98 5. a2 – a –72 6. x2 + x – 90 7. p2 – 8p +15 8. y2 – 13y + 42 9. y2 – 20y + 99 10. t2 – 28t + 195 Factorize each of the following: 11. 2a2 + 13a + 15 12. 4x2 + 8x + 3 13. 4x2 + 12x + 9 14. 6x2 + x – 1 15. 6p2 + 17p + 10 16. 4a2 – 11a – 15 17. 7m2 + 16m – 15 18. 8p2 + 29p – 12 19. 6x2 + 5x – 6 20. 15y2 – 13y – 6 21. 14x2 – x – 3 22. 9a2 – 9a + 2 23. 2a2 – 13a + 18 24. 12x2 – 7x + 1 25. 16x2 – 32x +7 Resolve into factors each of the following : 26. 9x2 + 24xy + 15y2 27. 4x2 – 16xy – 9y2 28. 6c2 + 11cd – 10d2 29. 5x2 – 11xy + 6y2 30. 2a2 – 15ab + 28b2 Factorize the following: 31. √2 x2 + 3x +√2 32. √3 x2 + 11x + 6√3 33. 5√5 x2 + 20 x + 3 √5 34. 2x2 + 3√5 x + 5 35. 7x2 + 2√14 x +2 (B)Factorize the polynomial using the factorization formula:
10. 1 + 6x + 9x2 11. 144x2 – 72x + 9 12. 4a2b2 + 20abcd + 25c2d2 13. x2 + y2 – a2 – b2 + 2xy + 2ab 14. 33x3y3 + 27z3 15. (x + y)3 + 8y3 16. (x2 + 1)3 + (x2 – 1)3 17. x6 – y6 18. (x+y)3 − (x–y)3 19. (p+q)3 + (p–q)3 + 6p (p2 – q2) 20. 27x3 + y3 + 27x2y + 9xy2 21. x3 – 12x2 +48x – 64 21. x3 – y3 + 1 + 3xy 22. 8x3 – 125y3 + 180xy +216 23. 8x3 – 27y3 +z3+18xyz 24. 33a3 – 8b3 – 125c3 − 30 3abc 25. (a –2b)3 + (2b – 3c)3 + (3c – a)3 26. (x + y – 2z)3 + (y + z – 2x)3 + (z + x – 2y)3 27. (a2 – b2)3 + (b2 – c2) 3 + (c2 – a2)3 28. a3(b – c)3 + b3(c – a)3 + c3(a – b)3 29. x(x + z) – y(y + z) 30. 1–2xy–x2 – y2 31. x^4 +4 32. 8x^3 – 27y3 – 36x2y + 54xy2 33. 4x2 + 9y2 + z2 + 12xy + 4xz + 6yz 34. a2 + b2 + 9c2 + 2ab – 6ac – 6bc |
CBSE Class 8 Mathematics
|
Widget is loading comments...