Find the remainder when f(x) is divided by (x - k). f(x) = 7x4 + 12x3 + 6x2 - 5x + 16; k = 3

Answer:946Step-by-step explanation:To find just the remainder when dividing a polynomial by x-3, you could just plug in 3 into that polynomial.If you were dividing by x+3, the remainder would just be the polynomial evaluated at x=-3.Anyways plugging in 3 gives 7(3)^4 + 12(3)^3 + 6(3)^2 - 5(3) + 16Just put this into your nearest calculator .It should output 946.You could use synthetic division or even long.Synthetic Division.We put 3 on outside because we are dividing by x-3.3. | 7. 12. 6. -5. 16 | 21. 99. 315. 930 ________________________ 7. 33. 105. 310. 946The remainder is the last number in the last column.The plugging in and the synthetic division will always work when dividing by a linear expression.