Question

Match the function with its correct description.

Answer 1

A. The degree of the function is 4,
and the leading coefficient is
positive.
B. The degree of the function is 5,
and the leading coefficient is
negative.
C. The degree of the function is 5,
and the leading coefficient is
positive.

Answer 2

@ribhu

Answer 3

@mathmath333

Answer 4

@iGreen

Answer 5

\(\large \color{black}{\begin{align} f(x) & =(-2x+1)^2(x-3)^2(x+1)\hspace{.33em}\\~\\
& =(-2x+1)^{ \color{red}{2}}(x-3)^{ \color{red}{2}}(x+1) ^{\color{red}{1}}\hspace{.33em}\\~\\
& =(-2x^{\color{blue}{1}}+1)^{ \color{red}{2}}(x^{\color{blue}{1}}-3)^{ \color{red}{2}}(x^{\color{blue}{1}}+1) ^{\color{red}{1}}\hspace{.33em}\\~\\
\text{total degree} & =1\times 2+1\times 2+1\times 1\\~\\
f(x) & =(\color{blue}{-2}x+1)^\color{red}{2}(\color{blue}{1}x-3)^2(\color{blue}{1}x+1)\hspace{.33em}\\~\\
\text{leading coefficient} & =(-2)^2\times1\times1\times 1\\~\\
\end{align}}\)