Question

Find the value of a if x + 6 is a factor of x3 + 3x2 + 4x + a.

Answer 1

If (x-6) is factor of p(x)

then, p(6) = 0

Here,

p(x) = x³ + 3x² +4x +a

p(6) = 6³ + 3.(6²) +4.(6)+a = 0

=> 216+108+24+a = 0

=> a = -348