Question

Please help finding the remaining roots

Answer 1

x = 3, x = -
`(7)/(2)`

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 = -
`(7)/(2)`