Answer:see explanationStep-by-step explanation:Given3x² - 5x + 2 = 0Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- termproduct = 3 × 2 = 6 and sum = - 5The factors are - 3 and - 2Use these factors to split the x- term3x² - 3x - 2x + 2 = 0 ( factor the first/second and third/fourth terms )3x(x - 1) - 2(x - 1) = 0 ← factor out (x - 1) from each term(x - 1)(3x - 2) = 0Equate each factor to zero and solve for xx - 1 = 0 ⇒ x = 13x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]Roots are x = 1, x = [tex]\frac{2}{3}[/tex]