Answer variants:
the coefficients of equal powers is not equal to \(0\)
odd
\(-125\)
\(3x^2 - 11x + 40\)
the coefficients of odd powers is not equal to \(0\)
even
a
\(2xy\)
the coefficients of odd and even powers of \(x\) is equal to \(0\)
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.