Factor completely, then place the answer in the proper location on the grid. Write the answer in descending powers of a.

4a4 + 6a3b2 + 2a2b3

2a2(2a2 +3ab^2 + b3)

Step-by-step explanation:

4a4 + 6a3b2 + 2a2b3

The Greatest Common Factor = 2a2, so factoring:

= 2a2(2a2 +3ab^2 + b3)

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )