Question

If x+1 is the factor of ax³+x²-2x+4a-9 find the value of a

Answer 1

Answer:

a=2

Step-by-step explanation:

x=-1. since x+1 is the factor

given ax3+x2-2x+4a-9=0

x=-1 then. a(-1)3+(-1)2-2(-1)+4a-9=0

-a+1+2+4a-9=0

3a=6

a=2

Answer 2

Answer:

2

Step-by-step explanation:

P(x)=ax³+x²-2x+4a-9

If x+1 is a factor of p(x), then P(-1) = 0

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

           = -a + 1+2+4a-9 = 0

            = 3a - 6 = 0

           P(-1) =  3a =6

                   =  a=6/3=2