Question

if x+2 is a factor of ax³+2x²-x+3a-10​

Answer 1

Answer:

Step-by-step explanation:

Let p ( x ) = ax³ + 2x² - x + 3a - 10 = 0

If ( x + 2 ) is a zero of p ( x ),then " x = - 2.

p ( - 2 ) = a ( - 2 )³ + 2 ( - 2 )² - ( - 2 ) + 3a - 10 = 0

⇒- 8a + 8 + 2 + 3a - 10 = 0

⇒ - 5a + 10 - 10 = 0

⇒ - 5a = 0

⇒ a = 0