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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 c5 is a factor of c47c36c218c10 class=

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LammettHash
When [tex]c=-5[/tex], we have

[tex](-5)^4+7(-5)^3+6(-5)^2-18(-5)+10=0[/tex]

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

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