Will mark brainliest if right and you show your work!

Factor completely

x^2+3x-40

Also can you use Desmos on this question?

(x - 5) (x + 8)

Step-by-step explanation:

Your equation is: x² + 3x - 40

1. Factor the quadratic

(a) Find two numbers that multiply to give - 40 and add to give 3.

List the positive factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

One of the numbers must be negative. Start with the numbers near the middle of the list.

By trial and error, you will find that + 8 and - 5 work:

-5 * 8 = - 40 and - 5+8 = 3

(b) Rewrite 3x as - 5x + 8x

x² - 5x + 8x - 40

(c) Factor the first two and the last two terms

x (x - 5) + 8 (x - 5)

(d) Separate the common factor

x² + 3x - 40 = (x - 5) (x + 8)

2. Using Desmos

You can plot the equation with Desmos.

You get a parabola with x-intercepts at x = - 8 and x = 5.

These are the solutions to

x + 8 = 0 and x - 5 = 0, so

x² + 3x - 40 = (x + 8) (x - 5)