(1 point) Graph the polynomial y = -4x(x - 2)(x + 8). Give the x-intercept(s), y-intercept, and end behavior below, and draw the
graph by hand on paper for your own reference.

. X-intercept(s):

• y-intercept:

• As x → - ♾, y →

As x → ♾, y →

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81

grace would use 12 apple slices