Part a: factor 3x2y2 - xy2 - 2y2. show your work. (3 points)

part b: factor x2 + 6x + 9. show your work. (3 points)

part c: factor x2 - 25. show your work. (2 points)

part d: do the polynomials in parts a, b, and c have a common factor? explain your answer. (2 points)

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d