Question

If (x - 2) and (x - 1/2) are factors of px² + 5x + r, then show that p = r

SUPER URGENT!!!! PLEASE!!!!!

Answer 1

let p(x)=px²+5x+r.Since x-2 ad x-1/2 are factors of p(x).
p(2)=0 and p(1/2)=0
p×2²+5×2+r=0  and  p(1/2)²+5×1/2+r=0

4p+10+r=0 and p/4+5/2+r=0

4p+r=-10 and p+4r+10=0
                         4

4p+r=-10 and p+4r+10=0
4p+r=-10 and p+4r=-10
4p+r=p+4r
3p=3r   ⇒ p=r

Answer 2

if you find this ans helpful mark me brainliest