Question

if x+1 is a factor of ax³+x³-2x+4a-9, find a ​

Answer 1

Answer:

a = 2

Step-by-step explanation:

Let P (x) = ax³ + x³- 2x + 4a - 9      

x + 1 = 0

x = - 1

P (-1) = a(1)³ + (1)³- 2(1) + 4a - 9 = 0

           a + 1 - 2 + 4a - 9 = 0

           a + 4a + 1 - 2 - 9 = 0

           5a - 10 = 0

           5a = 10

           a = 10/5

           a = 2