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we can use direct substitution. do this we must take the opposite of the constant in the factor that we want to test. -1*(1)=-1

now we simply take f(-1).

=-1^3-(-2)^2-8(-1)-5

=-1-4+8-5

=-2

since we got -2 in the end (x+1) is not a factor of this polynomial.

According to factor theorem it can only be a factor is the remainder is 0

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Q: Write How the Factor Theorem can be used to determine whether x plus 1 is a factor of x3-2x2-8x-5?
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