5x ^4 + 16x ^3-15x ^2 +8x +16; x +4 use synthetic division to decide second polynomial is a factor of the first.

Fx=6x ^3 + 17x ^2 - 63x + 10; k= -5 factor x into linear factors given that k is a zero of f(x).

f(x)-x ^4-4x ^3-x +3; 0.5 and 1 use intermediate value theorem for polynomials to show each function has a real zero between numbers given.

fx= -5x ^4 + x^3+2x ^2+3x+1; k=1 express f(x)in the form F(x)= (x-k) 9(x)+R for given value of k.