Question

plz solve this question step by step with clear explanations​

Answer 1

Step-by-step explanation:

Let p(x) = ax³ + x² -2x +4a -6

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

∴p(−1)=0 [By factor theorem]

⇒a(−1)³ +(−1)²−2(−1)+4a−6=0

⇒a(−1)+1+2+4a−6=0

⇒−a+4a−3=0

⇒3a−3=0⇒3a=3⇒a=1

Answer 2

I hope it will helpful.

a= 1