Given the equation (5x + 10) / 8 = X-1, what is the solution of this equation?

（5X+10）/8=X-1
Multiply both sides by 8 5x + 10 = 8 (x-1)
Remove bracket 5x + 10 = 8x-8
Move items to merge similar items 3x = 18
The solution is x = 18 / 3

Prove that polynomial x ^ 5-5x ^ 4 + x ^ 3-4x ^ 2 + X + 6 can be divided by x ^ 2-5x + 6

x=2,x^5-5x^4+x^3-4x^2+x+6=0
x=3,x^5-5x^4+x^3-4x^2+x+6=0
So it's divisible by (X-2) (x-3)
That is, it can be divisible by X & # - 5x + 6

Given a = x & sup3; - 5x & sup2;. B = x & sup2; - 11x + 6, find: 1) a + 2B 2) if x = - 1, find the value of a + 5B

A + 2B = x & sup3; - 5x & sup2; + 2x & sup2; - 22x + 12 = x & sup3; - 3x & sup2; - 22x + 12a + 5B = x & sup3; - 5x & sup2; + 5x & sup2; - 55x + 30 = x & sup3; - 55x + 30 Generation X = - 1 into X & sup3; - 55x + 30 get X & sup3; - 55x + 30 = - 1 + 55 + 30 = 84

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