Question

( p(x)=x^{3}-10 x^{2}+a x+b )
( because quad 1 & 2 ) are genoes ( delta f quad b(x) )
( Rightarrow quad p(1)=0 quad ) & ( quad p(2)=0 )
( Rightarrow quad 1-10+a+b=0 quad & quad 8-40+2 a+b=0 )
& ( 2 a+b=32 )
( Rightarrow quad a+b=9 )
( frac{2 a+b=32}{a+b=9} )
( frac{a+23}{b=9-23=-14} )
( Rightarrow quad a=23 ) and ( b=-14 )

# 15. Find the values of 'a' an 'b', so that 1 and 2 are the zetos of the polynomial -10%+axtb

Solution