Answer:
x = 3, x = - [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Since x = 2 is a root then (x - 2) is a factor
2x³ - 3x² - 23x + 42 ÷ (x - 2)
= (x - 2)(2x² + x - 21)
solve 2x² + x - 21 = 0 for remaining roots
(2x + 7)(x - 3) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
2x + 7 = 0 ⇒ x = - [tex]\frac{7}{2}[/tex]
