You do the following:
1) Find all the divisors of the constant term. Divisors of 2 are 1,-1,2,-2.
2) FInd all the divisors of the leading coefficient. Divisors of 1 are 1,-1.
3) Divide the divisors of the constant term by the divisors of the leading coefficient. You get 1,-1,2,-2. This is your answer for part (a).
4) Try synthetic division with all the numbers from step 3. Once you have found a root, continue synthetic division using the quotient of the division that gave your the root, until you are down to a quadratic polynomial. Quadratic polynomials we can solve using the quadratic formula.
All the roots you found is your answer for part (b).
You do the following:
1) Find all the divisors of the constant term. Divisors of 2 are 1,-1,2,-2.
2) FInd all the divisors of the leading coefficient. Divisors of 1 are 1,-1.
3) Divide the divisors of the constant term by the divisors of the leading coefficient. You get 1,-1,2,-2. This is your answer for part (a).
4) Try synthetic division with all the numbers from step 3. Once you have found a root, continue synthetic division using the quotient of the division that gave your the root, until you are down to a quadratic polynomial. Quadratic polynomials we can solve using the quadratic formula.
All the roots you found is your answer for part (b).