Question

If ( (x-2) ) & ( (x-1 / 2) ) are facter of ( p x^{2}+5 x+r )
( Rightarrow p(2)^{2}+5 times 27 gamma=0 )
( Rightarrow 4 p+gamma=-10 )
( pleft(frac{1}{2}right)^{2}+frac{5}{2}+gamma=0 )
( Rightarrow frac{p}{4}+gamma=-5 / 2 )
Sub. 2 from ( frac{sin ^{2} p}{4}=frac{-sqrt{5}-1}{2} Rightarrow p=-2 )
( 8 gamma=-2 )
( Rightarrow p=gamma )
Hence proved

# -") are the factors of px + 5x+r, show that p=r Q10 If both (x - 2) and (x - 12) are the factors of py

Solution