Answer: (x-2) is not a factor
Step-by-step explanation:
x^20 - 4x^18 +3x - 6 = 0 is a polynomial.
To test if (x + 2) is a factor, we are to use factor theorem
Make x the subject of the formula
x + 2 = 0
x = 0 - 2
x = -2
Put x = -2 into the equation. If the result on both the left hand side and right hand side is 0, then (x + 2) is a factor
(-2)^20 - 4(-2)^18 + 3(-2) - 6 = 0
1048576 - 4(262144) -6 -6 =0
1048576 - 1048576 -12 = 0
0 -12 = 0
-12 =0
Since LHS is not equal to RHS. (x+2) is not a factor of the equation
