Question

Help me with part c? I already did A and B.
Question: The area of rectangle A can be expressed by the polynomial 8x^2 + 2x - 3. The area of rectangle B can be expressed by the polynomial 32x^2 + 8x - 12.
Part A: Factor the expression for the area of rectangle A.
Part B: Factor the expression for the area of rectangle B.
Part C: Every dimension of rectangle A was multiplied by a scale factor to get
rectangle B. What was the scale factor? Explain how you know.
Part A: (2x - 1) (4x + 3)
Part B: (8x - 4) (4x + 3)
Part C: ?

Answer 1

For rectA, you have (2x - 1)(4x + 3).
For rectB, you have (8x - 4)(4x + 3).
Both areas have a common factor of (at least) (4x + 3). You can still factor the expression for rectB.