I need help with this

Explanation:

We can split the figures into 3 parts which the figure already shows, the semicircle, the rectangle, the triangle.

We know the diameter of the semicircle is 4 so the radius is 2. (Area = 1/2r^2pi)

We know the base and the height of the rectangle which are 4 and 6. (Area = b*h)

We can find the leg for the triangle by subtracting 6 from 10 (on the bottom) to get 4 cm for both legs. (Area = 1/2(b*h)

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0