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And I Googled 'synthetic division' and came up with: Synthetic Divisiongiven a polynomial and one of its factors, find the remaining factors of the polynomial. some factors may not be binomials.
2x^3 + 15x^2 - 14x -48 ; x - 2
x^3 + 6x^2 - x - 30 ; x + 5
Use the remainder theorem. In the first of these , and in the second . So work out what each of these expressions is in terms of , and then solve each equation to find .Find values of k so that each remainder is 5
(2x^2 - 8x + k) / (x - 7)
(x^4 + kx^3 - 7x^2 + 8x + 25) / (x - 2)