Answer:
{-2, 1/3)
Step-by-step explanation:
Combine like terms in 2x2 + 7x - 2 =- x2 + 2x: We get:
3x^2 + 5x - 2 = 0
Use synthetic division from this point on. If the remainder in synthetic division is zero, the divisor is a root of the polynomial. Setting up this division for the possible root 3, we get:
3 / 3 5 -2
15 60
----------------------
3 20 58 The non-zero remainder tells us that 3 is NOT a
solution.
Try C: x = -2. Is this a solution?
-2 / 3 5 -2
-6 2
----------------------
3 -1 0 The zero remainder tells us that -2 is a solution (C)
The other factor is (3x - 1). If we set this equal to zero and solve for x, we get:
3x = 1, or x = 1/3. Thus B: 1/3 is the second solution.
