If x+2 is a factor of the polynomial: 3x²+kx, then the value is​

k = 6

Step-by-step explanation:

(x+2) is a factor of 3x²+kx so if we solve (x+2) = 0 that will give us one of the solutions of x for 3x²+kx = 0, and then we can substitute that solution in and find the value of k.

So to find a solution, (x+2) = 0 and therefore x = -2

Now substitute x = -2 into 3x²+kx = 0

so 3(-2)²+k(-2) = 0

12 - 2k = 0

2k = 12

k = 6

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