Example 4:Determine the value of & when x² + x³ +3x²+3x+2 is divided by x+1, the remainder is 9. Solution: Let p x = x² + x³ +3x²+3x+2 By the Remainder Theorem, p-1=-1¹+1+3 -1² +31 +2=9 1-k+3-3+2=9 3-k=9 ACTIVITY A. Find the remainder when px is divided by the given divisor x-c. 1. f x = x² + 2x³-14x² - 6x +17; *-3 2.x = x³ +7x² +8x-3; x+2 3. fx=2x² + 5x -3x³-10x²+3x+l; 2x-1 4. f x=x-8x4-9x5-10x³-6; x-1 B. Given a condition, determine the value of k. 1. When x*-5x³ + x²-x-2 is divided by x-2, the remainder is -21. 2. When 3x +kx²+2x²-x-1 is divided by x+1, the remainder is 12.​