(08.01, 08.02, 08.03, 08.05, 08.06 mc)

part a: factor x2y2 + 6xy2 + 8y2. show your work. (4 points)

part b: factor x2 + 8x + 16. show your work. (3 points)

part c: factor x2 − 16. show your work. (3 points)

The factorization of all the parts are :

Part A :

Part B :  

Part C :  

Step-by-step explanation:  We are given to factorize the following quadratic polynomials :

Part A : Factor x²y² + 6xy² + 8y².  

Part B : Factor x² + 8x + 16.

Part C: Factor x² − 16.

We will be using the following factorization formulas :

The factorization of all the parts area as follows :

Part A :

We have

So,

Part B :

We have

So,

Part C :

We have

So,

Thus, all the parts are factorized.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3