Question 8 of 10 Which of the following represents this function written in intercept form?
y= -x-x+6
O
O A. V== (x+2)(x - 6)
bv= - (x + 2)(x+6)
O c. v=(-x+3)(x – 4)
O D. v= -(x-2)(x+3)

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