To solve the equation 3x² - 7x + 2 = 0 using the Master Product method, factorize the trinomial and then solve for x.
To solve the equation 3x² - 7x + 2 = 0 using the Master Product method, we need to factorize the trinomial.
1. Multiply the coefficient of x² and the constant term: 3 * 2 = 6.
2. Find two numbers that multiply to 6 and add up to the coefficient of x (-7): -6 and -1.
3. Rewrite the middle term as the sum of -6x and -1x: 3x² - 6x - 1x + 2 = 0.
4. Factor by grouping: (3x² - 6x) + (-1x + 2) = 0.
5. Factor out the common factors from each group: 3x(x - 2) - 1(x - 2) = 0.
6. Combine the common factors: (3x - 1)(x - 2) = 0.
7. Set each factor equal to zero and solve for x: 3x - 1 = 0 or x - 2 = 0.
8. Solve for x: x = 1/3 or x = 2.
Learn more about Factoring Trinomials