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if both x-2 and x-1/2 are factors of px²+qx+r show that p=r
+1
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asked
Jul 3, 2019
in
Class IX Maths
by
Divija
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258
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answered
Sep 15, 2019
by
Divija
Mature
(
258
points)
Best answer
x-2=0
x=2
g(x)=px²+qx+r
g(2)=p(2)²+q(2)+r=4p+2q+r=0
x-1/2=0
x=1/2
g(1/2)=p(1/2)²+q(1/2)+r=p/4+q/2+r=0
=4(p/4+q/2+r)=0x4
=p+2q+4r=0
p+2q+4r=4p+2q+r
4r-r=4p-p
3r=3p
r=0
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