1.

If `(x+2)` is a common factor of `(px^2+qx+r)` and `(qx^2+px+r)` thena) ` p=q` or `p+q+r=0`b)`p=r` or `p+q+r=0`c) `q=r` or `p+q+r=0`d)`p=q=-1/2r`

Answer» `f(-2)=0`
`P(-2)^2+q(-2)+r=0`
`4p-2q+r=0-(1)`
`g(-2)=0`
`q(-2)^2+p(-2)+r=0`
`4q-2p+r=0-(2)`
from equation 1 and 2
`2q-4p=2p-4q`
`2q+4q=2p+4p`
`6q=6p`
`q=p`
`4p-2q+r=0`
`4q-2q+r=0`
`2q+r=0`
`2q=-r`
`P=q=-1/2r`.


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