Question

y =- 1(x3 - 5x?1(x3 - 5x2 + 6x - 30)(x² - 16)what’s the leading coefficient of the polynomial function and the end function based on the degree and the coefficient?

Answer 1

$\begin{gathered} y=-1(x^3-5x^2+6x-30)(x^2-16) \\ y=-x^3+5x^2-6x+30(x^2-16) \\ y=-x^5+16x^3+5x^4-80x^2-6x^3+96x+30x^2-480 \\ y=-x^{5^{}}+5x^4+10x^3-50x^2+96x-480 \end{gathered}$

The leading coefficient is - 1. (The highest degree is the 5th degree)

$\text{leading term =-x}^5$

Degree : odd

$\begin{gathered} as\text{ x}\rightarrow-\infty,then\text{ y=}\infty \\ as\text{ }x\rightarrow\infty,then\text{ y=-}\infty \end{gathered}$