Question

( x^{4}+x^{3}+8 x^{2}+a x+b- )
( x^{2}+1 ) is a factor
( x^{2}+1=0 )
( x^{2}=-1 )
( x=(1)+i )
( 0^{4}+i^{3}+8 i^{2}+a^{2}+b=0 )
( 1-i-8+8 x^{2}+b=0 )
( 1+i-8-a i+b=0 )
( 2-16+2 b=0 )
( 2 b=14 Rightarrow b=7 )

# u +2 +8 x² + ax + b in exactly divisible og 2 +1. Find the values oa and de

Solution