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Find the zeros of the function. Enter the solutions from least to greatest. $h(x)=(-4x -5)(-x +5)$

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Determine end behavior of polynomial and rational functions

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Q. Find the zeros of the function. Enter the solutions from least to greatest.

h(x)=(-4x -5)(-x +5)

Identify Zeros: Identify the zeros of the function by setting each factor equal to zero. $\newline$ For the first factor, we have $-4x - 5 = 0$ . $\newline$ To solve for x, we add $5$ to both sides of the equation. $\newline$ $-4x - 5 + 5 = 0 + 5$ $\newline$ $-4x = 5$ $\newline$ Now, we divide both sides by $-4$ to isolate $x$ . $\newline$ $-4x / -4 = 5 / -4$ $\newline$ $x = -5 / 4$
Solve First Factor: Solve for the zero from the second factor, which is $-x + 5 = 0$ . To solve for $x$ , we subtract $5$ from both sides of the equation. $-x + 5 - 5 = 0 - 5$ $-x = -5$ Now, we multiply both sides by $-1$ to isolate $x$ . $-x \times -1 = -5 \times -1$ $x = 5$
Solve Second Factor: Arrange the solutions from least to greatest. $\newline$ The solutions we found are $x = -\frac{5}{4}$ and $x = 5$ . $\newline$ Since $-\frac{5}{4} < 5$ , the solutions in order from least to greatest are: $\newline$ $x = -\frac{5}{4}, x = 5$

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