2x⁴ + 3x³ - 4x - 16 ÷ (x + 12)
Answer (1)
Answer:Step-by-step explanation:Step 1: Set up synthetic divisionDivisor: x + 12 → -12Write coefficients of dividend:2, 3, 0, -4, -16Step 2: Start synthetic divisionBring down the first coefficient: 2 → write 2.Multiply by -12: 2x -12 = -24Add to next coefficient: 3 + (-24) = -21Next:Multiply -21x -12 = 252Add to next coefficient: 0 + 252 = 252Next:Multiply 252x -12 = -3024Add to next coefficient: -4 + (-3024) = -3028Next:Multiply -3028x-12 = 36336Add to next coefficient: -16 + 36336 = 36320Step 3: Write resultQuotient: 2x^3 - 21x^2 + 252x - 3028Remainder: 36320Final answer:2x^3 - 21x^2 + 252x - 3028 + 36320/x + 12
