Part A: Write the expression x^2-18x+45 as a product of two linear expressions. Show your work and justify each step.

Part B: Rewrite x^2 6x+9 as a square of a linear expression.

Part C: Do the expression in parts A and B have a common factor? Justify your answer.

Question

Part A: Write the expression x^2-18x+45 as a product of two linear expressions. Show your work and justify each step.
 
Part B: Rewrite  x^2 6x+9 as a square of a linear expression.

Part C: Do the expression in parts A and B have a common factor? Justify your answer.

anonymous · Answer

Use the AC factoring method:  x^2 - 18x + 45 = (x - 3)(x - 5)
x^2 - 6x + 9 = (x -3)^2
They have a common factor (x -3)