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

{:[f(x)=(x-5)(5x+2)],[" lesser "x=◻],[" greater "x=◻]:}

Find the zeros of the function. Enter the solutions from least to greatest. $\newline$ $f(x)=(x-5)(5 x+2)$ $\newline$ lesser $x=$ $\newline$ greater $x=$

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Find the roots of factored polynomials

Full solution

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

\newline

f(x)=(x-5)(5 x+2)

\newline

lesser

x=

\newline

greater

x=

Identify Zeros: Identify the zeros of the function by setting the function equal to zero. $\newline$ To find the zeros of $f(x)$ , we set $f(x) = 0$ and solve for $x$ . $\newline$ $0 = (x-5)(5x+2)$
Solve First Factor: Solve the first factor set to zero. $\newline$ Set the first factor equal to zero and solve for $x$ : $\newline$ $x - 5 = 0$ $\newline$ $x = 5$
Solve Second Factor: Solve the second factor set to zero. $\newline$ Set the second factor equal to zero and solve for $x$ : $\newline$ $5x + 2 = 0$ $\newline$ $5x = -2$ $\newline$ $x = -\frac{2}{5}$
Arrange Solutions: Arrange the solutions in ascending order. $\newline$ The lesser $x$ is $-\frac{2}{5}$ , and the greater $x$ is $5$ .

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