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if both x-2 and x-1/2 are factors of px²+qx+r show that p=r

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asked Jul 3 in Class IX Maths by Divija Mature (260 points)

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answered Sep 15 by Divija Mature (260 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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