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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
77=14
7+7=14
the coefficients of odd powers is not equal to \(0\)
1+13=14
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 \(=\)