For what value of m is x³-2 mx²+16 divisible by x+2
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Answer:
1
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Step-by-step explanation:
x^3-2mx^2+16÷x+2
x+2=0
x=-2
p(x) =x^3-2mx^2+16
p(-2)=(-2)^3-2m(-2)^2+16
=-8-2m(4)+16=0
= -8-8m+16=0
=8-8m=0
=-8m=0-8
= -8m=-8
=m = -8/-8
=m=1
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