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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.
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