Question

X+1 is a factor of ax3+x2-2x+4a-9, find value of a?

Answer 1

ANSWER

X+1=0

X=-1

now

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

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

=>3a=6

=>a=2

Answer 2

Answer:

p(x)= ax3+x2-2x+4a-9

g(x)= x+1

g(1)= x = -1

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

     = -a +1 + 2 + 4a- 9 = 0

     = 3a - 6= 0

     = 3a = 6

     = a = 2

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