Question

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

11th - 12th Class

Maths

Solution

124

4.0 (1 ratings)

( 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 )