Determine the x-intercepts of the following equation. (x+2)(-x-3)=y (-2,0) and (-3,0) (-2,0) and (3,0) (0,-2) and (0,-3) (0,-6) (0,6) (-6,0)

Identify x-intercepts: Identify the x-intercepts from the equation. The x-intercepts occur where y = 0. So we set the equation equal to zero and solve for x. (x+2)(-x-3) = 0Solve first factor: Solve the first factor for x. Set the first factor equal to zero and solve for x. x + 2 = 0 x = -2Solve second factor: Solve the second factor for x. Set the second factor equal to zero and solve for x. -x - 3 = 0 -x = 3 x = -3Combine solutions: Combine the solutions to identify the x-intercepts. The solutions from the two factors give us the x-intercepts of the equation. The x-intercepts are (-2, 0) and (-3, 0).

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Determine the
x-intercepts of the following equation.

(x+2)(-x-3)=y

(-2,0) and
(-3,0)

(-2,0) and
(3,0)

(0,-2) and
(0,-3)

(0,-6)

(0,6)

(-6,0)

Determine the $x$ -intercepts of the following equation. $\newline$ $(x+2)(-x-3)=y$ $\newline$ $(-2,0)$ and $(-3,0)$ $\newline$ $(-2,0)$ and $(3,0)$ $\newline$ $(0,-2)$ and $(0,-3)$ $\newline$ $(0,-6)$ $\newline$ $(0,6)$ $\newline$ $(-6,0)$

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Math Problems

Algebra 2

Write a quadratic function from its x-intercepts and another point

Full solution

Q. Determine the

x

-intercepts of the following equation.

\newline

(x+2)(-x-3)=y

\newline

(-2,0)

and

(-3,0)

\newline

(-2,0)

and

(3,0)

\newline

(0,-2)

and

(0,-3)

\newline

(0,-6)

\newline

(0,6)

\newline

(-6,0)

Identify x-intercepts: Identify the x-intercepts from the equation. $\newline$ The x-intercepts occur where $y = 0$ . So we set the equation equal to zero and solve for $x$ . $\newline$ $(x+2)(-x-3) = 0$
Solve first factor: Solve the first factor for $x$ . $\newline$ Set the first factor equal to zero and solve for $x$ . $\newline$ $x + 2 = 0$ $\newline$ $x = -2$
Solve second factor: Solve the second factor for $x$ . $\newline$ Set the second factor equal to zero and solve for $x$ . $\newline$ $-x - 3 = 0$ $\newline$ $-x = 3$ $\newline$ $x = -3$
Combine solutions: Combine the solutions to identify the $x$ -intercepts. The solutions from the two factors give us the $x$ -intercepts of the equation. The $x$ -intercepts are $(-2, 0)$ and $(-3, 0)$ .