Find remainder when (x cubed - 2) is divided by (x-1)

-2+x²

Step-by-step explanation:

x³-2/(x-1)

x³/x=x²

(x-1)x²

x³-x²

x³-2-(x³-x²)

x³-2-x³+x²

x³-x³-2+x²

Remainder is

-2+x²

-1

Step-by-step explanation:

Using remainder theorem:

x = 1

Remainder is:

(1)² - 2 = 1 - 2 = -1

a and b are equal

step-by-step explanation:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2