Question

find the value of 'a' when x³ + x² + x + a is divisible by x-1/2​

Answer 1

Answer:

if x-1/2 divides x³+x²+x+a

then x-1/2 is a factor of x³+x²+x+a

so x-1/2=0

=>x=1/2,qa zero of x³+x²+x+a

put the value x =1/2 in x³+x²+x+a

we get 1/8+1/4+1/2+a=0

= >7/8+a=0

=>a=-7/8