Question

if (x-2) is a factor of the polynomial
${ax}^{3} + {3ax}^{2} + 2ax - 4$
then find the value of a​

Answer 1

Answer:

x-2 is factor

x-2=0

x=2

[a(2)]^3+[3(2)a]^2+2a(2)-4=0

8a³+36a²+4a-4=0

2a³+9a²+a=1

a(a²+9a+1)=1

case;1

a=1

case;2

a²+9a+1=1

a²+9a=0

a=-9