Question

the value of a for which ( x+a) is a factor of polynomial x^3 + ax^2 -2x + a + 6​

Answer 1

f(x) = x³ + ax²- 2x+a+6

g(x)=x+a

x=-a

According to factor theorem

x³+ ax²- 2x+a+6=0

-a³+ a³+ 2a+a+6=0

3a=-6

a=-2