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Answer variants:
the coefficients of equal powers is not equal to 0
the coefficients is equal to 0
all
-125
3x^2 - 11x + 40
the coefficients of odd powers is not equal to 0
odd
even
1. Find the quotient and remainder when p(x) = (3x^3 - 2x^2 - 5 + 7x) is divided by d(x) = x + 3 using synthetic division.
Answer:
Quotient =
Remainder =
2. Prove that (x - 1) is a factor of x^3 - 7x^2 + 13x - 7.
Answer:
Sum of coefficients of powers of x including the constant = .
Since , then (x - 1) is a factor of x^3 - 7x^2 + 13x - 7.
Hence, we proved.