Saved Bookmarks
| 1. |
X-2 divided by 3x^2-5x-22 |
|
Answer» ng 3x2-5x-22 The first term is, 3x2 its coefficient is 3 .The middle term is, -5x its coefficient is -5 .The LAST term, "the constant", is -22 Step-1 : Multiply the coefficient of the first term by the constant 3 • -22 = -66 Step-2 : Find two factors of -66 whose SUM equals the coefficient of the middle term, which is -5 . -66 + 1 = -65 -33 + 2 = -31 -22 + 3 = -19 -11 + 6 = -5 That's itStep-3 : Rewrite the polynomial SPLITTING the middle term using the two factors found in step 2 above, -11 and 6 3x2 - 11x + 6x - 22Step-4 : Add up the first 2 TERMS, pulling out like factors : x • (3x-11) Add up the last 2 terms, pulling out common factors : 2 • (3x-11)Step-5 : Add up the four terms of step 4 : (x+2) • (3x-11) Which is the desired factorizationThus the answer is 0 |
|