Answer:
remainder = - 3
Step-by-step explanation:
Expressing f(x) with a = 1 and b = 2 ← from (a), then
f(x) = x³ + 2x² - 3 and so
f(x - 1) = (x - 1)³ + 2(x - 1)² - 3 ← distributing factors
= x³ - 3x² + 3x - 1 + 2x² - 4x + 2 - 3
= x³ - x² - x - 2
Using remainder theorem to evaluate remainder
f(1) = 1³ - 1² - 1 - 2 = 1 - 1 -1 - 2 = - 3 ← remainder
