<p>Find the value of □ such that the quadratic polynomial is product of two same factors. e.g. x2+8x+□= x2+8x+(8/2)2= x2+8x+16 1. x2+2x+□ 2. x2-6x+□ 3. x2-12x+□ 4. x2+16x+□ 5. x2-18x+□ 6. x2+5x+□ 7. x2+10x+□ 8. x2+24x+□ 9. x2-22x+□ 10. x2+36x+□ 11. x2-3x□ 12. x2-10x+□ 13. x2-20x+□ 14. x2-7x+□ 15. x2-5x+□ 16. x2+24x+□ Find the value of □ and △. In the following expressions 17. x2+2x+□=(x+△)2 18. x2-4x+□=(x+△)2 19. x2-8x+□=(x+△)2 20. x2+12x+□=(x+△)2 21 x2-10x+□=(x+△)2 21 x2+16x+□=(x+△)2 22 x2-20x+□=(x+△)2 23 x2+14x+□=(x+△)2 24 x2-6x+□=(x+△)2 24 x2+3x+□=(x+△)2 Factorise the following quadratic polynomials. 25. x2-3x+2 26. x2-6x+5 27. x2-6x+8 28. x2-10x+21 29. x2-10x+21 30. x2+x-12 31. x2-3x-10 32. x2-6x-7 33. x2-9 34. x2+3x 35. x2-x 36. x2-16 37. 3x2-15x 38. 60x-12x2 39. 12-7x-x2 40. 2x2-x-3 41. 2x2+3x -5 42. 4x2-25 43. 12x2+16x+5 44. 72x2+60x-72 45. 21x2+8x-4 46. 16x2+64x+64 47. 63x2+84x+28 48. 32x2+176x+242 49. x2-x-2 50. x2+x-2 51. x2+3x+2 52. x2-x-6 53. x2+x-20 54. x2+2x-15 55. x2+5x-6 56. x2-3x-40 57. x2+7x+12 58. x2+5x+6 59. x2-6x+8 60. x2-5x-14 61. x2-12x 62. x2-15x 63. x2+5x-24 64. x2+7x-18 65. x2+3x-5 66. x2-7x-18 67. x2-x-12 68. x2+16x 69. x2+11x+18 70. x2+3x+2 71. x2+8x+16 72 x2-13x+40 73. x2+15x-16 74. x2-6x+8 75. x2+6x-16 76. x2+9x-36 77. x2-16x+28 78. x2-13x+22 79. x2-24x 80. x2-6x+9 81. x2+11x-26 82. x2+9x+20 83. x2+20x-44 84. x2-16x-36 85. x2-15x+34 Factorise the following quadratic polynomials. 86. 2x2-5x-3 87. 2x2-9x-18 88. 2x2+19x+35 89. 2x2-7x-15 90. 2x2+9x-56 91. 2x2+15x-27 92. 2x2+14x+20 93. 3x2+11x+6 94. 3x2+19x-14 95. 3x2-12x-15 96. 3x2+29x-44 97. 3x2+16x-35 98. 2x2+19x-33 99. 2x2-3x-35 100. 3 101. 3 102. 4 103. 4 104. 4 105. 4 106. 4 x2-4x-20 x2-2x-21 x2+7x+3 x2+17x-15 x2-3x-10 x2-5x-21 x2-41x-33 107. 4 108. 6 109. 4 110. 3 111. 4 112. 4 113. 6 x2-13x-35 x2+19x+3 x2-3x-10 x2+x-14 x2-4x-15 x2-4x-15 x2-11x-7 114. 5 115. 2 116. 1 117. 1 118. 3 119. 1 120. 7 x2-7x-6 x2-3x-27 0x2+7x-33 2x2+47x+45 0x2+x-42 1x2+42x+27 x2+9x-36 121. 1 122. x2 123. 2 124. 2 125. - 126. 5 127. 6 4x2-27+3x +84+19x x2+15x-77 x2+15x-77 3x2-7x+26 x2-2x-39 x2-31x+35 128. 1 129. 1 130. - 131. 1 132. 1 133. - 134. 1 5x2-41x+28 0x2+19x-15 12x2+32x+35 5x2-52x+32 2x2+35x-33 60x2+33x+12 50x2-85x+12 135. 2 136. 2 137. 6 138. 1 139. 5 140. 1 141. 3 1x2+31x+4 0x2-13x-15 x2+x-26 8x2+55x-28 x2+23x-10 4x2+15x+4 0x2-23x+3 142. 6 143. 1 144. 6 145. 5 146. 3 147. 2 148. 1 x2+29x+28 5x2-13x-20 0x2-11x-15 x2-18x-35 x2+2x-33 1x2+44x+15 0x2-51x+65 149. 6 150. 1 151. 6 152. 1 153. 4 154. 4 155. 1 x2-x-15 5x2+46x+35 x2-31x+5 1x2-16x+5 x2-27x+35 x2-8x-45 0x2-7x-12 156. 3 157. 1 158. 3 159. 2 160. 6 161. 4 162. + x2+8x-45 0x2-7x-12 x2+8x-51 0x2+13x-21 x2-37x+57 0x2-63x+18 65x+10+90x2 163. 6 164. 6 165. 6 166. 167. 168. 169. 3x2+50x-33 5x2+81x-14 x2-7x+2</p><p>170) Factorize (x+9)2-25 171) 172) 173) x  1 x 1 174) 2  2 Simplify Find the H.C.F. of (2a  3b)2  (2a  3b)2 x 1 x  2x 1 2 2 x  4 x  2 4(x-1)(x+2) , Simplify 2 2 2 (3a  2b)  (3a  2b)  2 6(x+1)(x-1) and x  3 x  9 2(x-1) 175) Find the value of a,b 176) 177) Factorize 2a(a+1)- 178) 179) 15-a so that Factorize Factorize 2(a+b)2-4(a2-b2) If p=2x-1 and q=3x-2 ax2+bx+2(2x-1)(x-2) 3x2+xy-2y2 express 3p2-pq in terms of x</p><p>180) Simplify 181) 182) 183) Fact 184) 3x 2  2x 1 Simplify If x2+y2=a, x-y=b orize (x2-1)+(x2-2x+1) Factorize 2x2-25x-387 3 a what is the value x 2  2x  1  2 of xy? a 1 a 1 185) Factorize 186) 187) 188) Sim 189) 2(x-3) 2+7(x-3)+3 Simplify Find the H.C.F. of 1 1 What must be added to the 2 2 2 2 54x +33x+3 and 1  2 1  expression 2x -2xy+y to make x x x x  10x2+19x+7 plify  it equal to (2x+y)2 y 1 1 1  1  x 2 y 2 y x  y 190) 191) 192) 193) 194)</p>