Question

If both (x-2) and (x-1/2) are factors of px²+5x+r, prove that p = r.​

Answer 1

Step-by-step explanation:

firstly take x-2 is a factor

p(2)=0

p(2²)=p×2²+5×2+r=0

4p+10+r=0

10=-4p-r

p(1/2)=0

p/4+5/2+r=0

p+10+4r=0

p+(-4p-r)+4r=0

-3p+3r=0

p=r