Part A: Write the expression x^2 + 2x - 24 as a product of two linear expressions. Show your work and justify each step. (5 points)

Part B: Rewrite x^2 - 8x + 16 as a square of a linear expression. (3 points)

Part C: Do the expressions in parts A and B have a common factor? Justify your answer. (2 points)

Question

Part A: Write the expression x^2 + 2x - 24 as a product of two linear expressions. Show your work and justify each step. (5 points)

Part B: Rewrite x^2 - 8x + 16 as a square of a linear expression. (3 points)

Part C: Do the expressions in parts A and B have a common factor? Justify your answer. (2 points)

anonymous · Answer

A) During factoring, we want 2 linear expressions to equal the given quadratic expression. Thus, we find that (x+6)(x-4) would equal x^2+2x-24

B) (x-4)^2

C) They have the common factor of (x-4)

The best way to learn this would be to look in your book because they can easily explain this much better than I will ever will. 
Good Luck!!