1.

If both (x-2) and (x-1/2) are factors of px^2+5x+r.Show that p=r.​

Answer»

Given, f(x) = px^2+5x+r  and FACTORS are x-2, x-1/2

SUBSTITUTE x = 2 in place of EQUATION, we get

= p*2^2+5*2+r=0  

=  4p + 10 + r = 0   ------------  (i)

Substitute x = 1/2 in place of equation.  

 p/4 + 5/2 + r = 0

 p + 10 + 4r = 0  -------------------  (II)

On solving (i),(ii) we get

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

4p+r=p+4r

3p=3r   

p = r.

Hope this helps!

PLZ MARK AS BRAINLIST ANSWER


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