GIVEN: (x – 2) is the factor of the polynomial. CONCEPT: Here to calculate the remainder we need to substitute value of x in the polynomial that can be calculated putting factor equal to zero. FORMULAE USED: Put x = 2 in the polynomial. CALCULATION: Remainder = (4 × 23 ) – (2 × 22 ) + (5 × 2) – 8 = 32 – 8 + 10 – 8 = 42 – 16⇒ Remainder = 26 ∴ Required remainder is 26