Verified answer

p(x) = x² - 4x + 5        s(x) = x - 3

1) p(x) + s(x) = x² - 4x + 5 + x - 3 = x² - 3x + 2

2) p(x) - s(x) = x² - 4x + 5 - (x - 3) =  x² - 4x + 5 - x + 3 = x² - 5x + 8

3) p(x) * s(x) = (x² - 4x + 5) * (x - 3) = x³ - 3x² - 4x² + 12x + 5x - 15 =

= x³ - 7x² + 17x - 15

4)s²(x) = (x - 3)² = x² - 6x + 9