Saved Bookmarks
| 1. |
Obtain all zeros of the polynomial 2y3 - 4y2 - 8y + 16, if two of its zeroes are 2 and - 2. |
|
Answer» 2y3 - 4y2 - 8y + 16 = 0 ⇒ 2y2(y - 2) - 8(y - 2) = 0 ⇒ (2y2 - 8)(y - 2) = 0 ⇒ 2(y2 - 4) (y - 2) = 0 ⇒ 2(y + 2) (y - 2)2 = 0 ⇒ y = -2, 2, 2 Hence, all zeros of the polynomial are 2 and -2 where 2 repeats two times. |
|