find the value of m for which (x+2) is a factor of ₋x³₊2x₊3m.
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let p(x)=-x³+2x+3m,
since (x+2) is a factor of p(x), then
p(-2)=0,
-(-2)³+2(-2)+3m=0,
8-4+3m=0,
4+3m=0,
then
3m=-4,
m=-4/3
since (x+2) is a factor of p(x), then
p(-2)=0,
-(-2)³+2(-2)+3m=0,
8-4+3m=0,
4+3m=0,
then
3m=-4,
m=-4/3
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Answer:
ANSWER IS ....M=-4/3
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