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We want to find the zeros of this polynomial:

p(x)=x(2x+3)(x-1)(x+2)
Plot all the zeros (
x-intercepts) of the polynomial in the interactive graph.

We want to find the zeros of this polynomial: $\newline$ $p(x)=x(2 x+3)(x-1)(x+2)$ $\newline$ Plot all the zeros ( $x$ -intercepts) of the polynomial in the interactive graph.

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Write a polynomial from its roots

Full solution

Q. We want to find the zeros of this polynomial:

\newline

p(x)=x(2 x+3)(x-1)(x+2)

\newline

Plot all the zeros (

x

-intercepts) of the polynomial in the interactive graph.

Set Polynomial Equal to Zero: step_1: Set the polynomial equal to zero and solve for $x$ . $p(x) = x(2x + 3)(x - 1)(x + 2) = 0$
Solve Each Factor: step $_2$ : Solve each factor set to zero. $\newline$ $x = 0$ , $\newline$ $2x + 3 = 0$ , $\newline$ $x - 1 = 0$ , $\newline$ $x + 2 = 0$
Solve for x: step_3: Solve for x in each equation. $\newline$ $x = 0$ , $\newline$ $2x + 3 = 0 \rightarrow 2x = -3 \rightarrow x = -\frac{3}{2}$ , $\newline$ $x - 1 = 0 \rightarrow x = 1$ , $\newline$ $x + 2 = 0 \rightarrow x = -2$

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