Find all x intercepts of the function f(x) = (x+3)(1-x)(2x-8)

Answer 1

Find all x intercepts of the function f(x) = (x+3)(1-x)(2x-8)

For all x-intercepts, y = f(x) = 0

f(x) = (x+3) (1-x) (2x-8)

0 = (x+3) (1-x) (2x-8)

If the product of factors = 0, then at least one of the factors = 0

Let each factor = 0 and then solve for x

x + 3 = 0

x + 3 - 3 = 0 - 3 subtract 3 from both sides

x = -3

1 - x = 0

1 - x - 1 = 0 - 1 subtract 1 from both sides

-x = -1

-1x / -1 = -1 / -1 divide both sides by (-1)

x = 1

2x - 8 = 0

2x - 8 + 8 = 0 + 8 add 8 to both sides

2x = 8

2x / 2 = 8 / 2 divide both sides by 2

x = 4

x = -3, 1, 4

x-intercept points = (-3, 0), (1, 0), & (4, 0)

Answer 2

The x-intercepts or zeros are

-3, 1, 4