Question

If x & y are the zeros of 3x² +3x - 6, then find the value of x - y​

Answer 1

Step-by-step explanation:

Step 1. Factor out the function you were given

f(x)=3x2−3x−6

=3(x2−x−2) ...factor out 3, common to all three terms

=3(x+1)(x−2) ...identify a factorization of the polynomial

Step 2. Set the factored function equal to zero and solve

3(x+1)(x−2)=0

3 is not zero

(x+1)=0 when x=−1

(x−2)=0 when x=2

Step 3. Verify these roots are zeros of the function by graphing