Question

Find the missing factor. 8x2 - X - 9 = (x + 1)(

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

8x² - x - 9 = (x + 1) ( ? )

Step 02:

We must find the missing root to solve the exercise.

x1 = - 1

x2 :

a = 8

b = -1

c = -9

`x\text{ = }\frac{-(-1)\pm\sqrt[]{(-1)^2-4\cdot8\cdot(-9)}_{}}{2\cdot8}`
`x\text{ = }(1\pm17)/(16)`
`x\text{ = }(1+17)/(16)=(18)/(16)=(9)/(8)`

x2 = 9 / 8

The answer is:

( x - 9/8)

8x² - x - 9 = (x + 1) ( x - 9/8 )