Question

if x-1 is a factor of ax^3+x^2-3x+4a-9

Answer 1

Answer:

Let p(x)=ax

3

+x

2

−2x+4a−9

As (x+1) is a factor of p(x)

∴p(−1)=0 [By factor theorem]

⇒a(−1)

3

+(−1)

2

−2(−1)+4a−9=0

⇒a(−1)+1+2+4a−9=0

⇒−a+4a−6=0

⇒3a−6=0⇒3a=6⇒a=2

Answer 2

Answer:

No, x-1 is not factor of ax^3+x^2-3x+4a-9

factor of ax^3+x^2-3x+4a-9 is x+1