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Answer variants:
the coefficients of odd and even powers of \(x\) is equal to \(0\)
the coefficients of equal powers is not equal to \(0\)
\(-125\)
a
\(2^3 xy^2\)
\(3x^2 - 11x + 40\)
\(2xy\)
even
the coefficients of odd powers is not equal to \(0\)
odd
1. 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 \(=\) .
Sum of coefficients of powers of \(x =\) .
Since , then \((x + 1)\) is a factor of \(x^3 + 7x^2 + 13x + 7\).
Hence, we proved.
2. Find the GCD of \(16x^3y^2\), \(24xy^3z\).
Answer:
GCD \(=\)
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