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

Posted by Divija Bansal 5 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Divija Bansal 5 years, 2 months ago

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

1Thank You

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CBSE > Class 09 > Mathematics