Question

if 2 and 1/2 are the zeroes of the polynomial f(x)=px²+5x+r then show that p=r​

Answer 1

Step-by-step explanation:

L

et 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

hope it helpful to you

Answer 2

Answer

F(2)=0

f(x)=f(2)=p(2)