Question

Part A: Factor 2x2b2 + 5xb2 + 2b2. Show your work. (4 points) Part B: Factor x2 − 8x + 16. Show your work. (3 points) Part C: Factor x2 − 49. Show your work. (3 points)

Answer 1

`2x^2b^2 + 5xb^2 + 2b^2 = b^2(2x^2 + 5x + 2) = b^2(2x + 1)(x + 2)`


`x^2 - 8x + 16 = (x - 4) (x - 4) = (x-4)^2`


`x^2 - 49 = x^2- 7^2 = (x - 7)(x + 7)`