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use the remainder theorem and the factor theorem to determine whether (c+5) is a factor of (c^4+7c^3+6c^2-18c+10)
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use the remainder theorem and the factor theorem to determine whether (c+5) is a factor of (c^4+7c^3+6c^2-18c+10)

use the remainder theorem and the factor theorem to determine whether (c+5) is a factor-example-1
User Tedward
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When
c=-5, we have


(-5)^4+7(-5)^3+6(-5)^2-18(-5)+10=0

which is the same as the remainder upon dividing
c^4+7c^3+6c^2-18c+10 by
c+5, so
c+5 is indeed a factor of the quartic.
User Rinat
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