In Exercises 1-3, find a polynomial that has these given roots. Write the result as a polynomial with x as the variable, in both factored form and standard form.

Question

1. 1, 2, 3

2. 0,2,-5

3.3,1/2,-1

Answer 1

1. (x-1)(x-2)(x-3) = x^3 - 7x + 6
2. x(x-2)(x+5) = x^3 -3x^2 -10x
3. (x-3)(x-1/2)(x+1) = x^3 - (5/2)x^2 -2x + 3/2