Find p & q if
( x + 1) and ( x + 2) are the factors of x3+ 3x2 -2px + q
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Answered by
6
Answer:
x + 1 = 0
x = -1 ( first case )
x + 2 = 0
x = - 2 ( second case )
substituting x = - 1 in the expression
(-1)^3 + 3(-1)^2 - 2p(-1) + q
-1 +3 + 2p + q
2 + 2p + q
2 ( 1 + p + q )= 0
p + q = -1 ...............equation i
substituting x = -2 in the same expression
(-2)^3 + 3 (2)^2 + - 2p( -2) + q
8 + 12 + 4p +q
20 + 4p + q = 0
4( 5 + p + q ) = 0
p + q = - 5 ...................equation ii
solving u can do it I think
hope it helps
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1
Answer:
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