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2x to the power of 2 plus 6x plus 3 has the same remainder when divided by x plus p or by x-2q where p is unequal to -2q Find the value of p-2q?
Wiki User
∙ 13y ago
Let
f(X)=2X2+6X+3
So f(-p)=f(2q)
or 2p2-6p+3=8q2+12q+3
or p2-3p=4q2+6q
or p2-4q2=3p+6q
or (p+2q)(p-2q)=3(p+2q)
so p-2q=3
Wiki User
∙ 13y ago
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