+129852 8. Since - 5 is a root.....we canuse synthetic division to find the other two roots
- 5 [ 12 55 - 27 - 10 ]
-60 25 10
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12 -5 -2 0
The remaining polynomial is 12x^2 - 5x - 2
We can factor this as [ and set to 0 ]
( 4x + 1) ( 3x - 2) = 0
Setting each factor to 0 and solving for x gives us the other two roots as x = -1/4 and x = 2/3
9. -2, 1 and 5
The polynomial is y = ( x + 2) ( x - 1) ( x - 5)
Here's the graph : https://www.desmos.com/calculator/1fvhn73iyz
