Question

plz do it its urgent

Answer 1

here take 1st factor (x-1/2)=compare it with(x-a )
a=1/2 then put it in eq. again take another factor (x-2) and compare a=2 then put in eq after that solve these eq. we get p=r

Answer 2

x-1/2 and x-2 are the factors
-->x=1/2 and x=2( As x-1/2=0 andx-2=0)
(Because both are the factors)
Now,This implies , alpha =1/2 and bita=2
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using the values,
alpha+bita= -b/a
--> 1/2+2= -b/a
—>5/2=-b/a. ——— (1)

alpha*bita=c/a
-->1/2*2 =c/a
—> 1=c/a ———(2)
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Now,
Using (1) and (2)
k(x²-sx+p)
k(x²-5/2x+1)
k(2x²-5x+2)/2........................By Taking LCM
Quad polynomial...2x²-5x+2
Here 2=2
Given equation=px²-5x+r
We have to show, p=r
By above equation,
We get 2=2 i.e p=r

HENCE PROVED