degree 3 zeros -8, 4-i

Answer 1

another zero is 4+i, the conjugate of 4-i. imaginary zeros always come in conjugate pairs

(x-(4-i))(x+(4+i)(x+8) = (x^2 -8x +17)(x+8) = x^3 -47x +136

if -8 is a zero

x =-8

x+8= 0

x+8 is a factor

x=4-i

x-4 = -i

square both sides

x^2 -8x +16 = -1

x^2-8x +17 = 0

x = 8/2 +or- (1/2)sqr(64-4(17))

x = 4 + or -(1/2)sqr(-4)

x = 4 + or - i

x = 4-i and 4-i are zeros or zeroes. They spell it both ways. zero seems preferred though.

Former Vice President Dan Quayle had trouble spelling potato, as he added an -e to the end. The ridicule may have given more impetus to spell zero with the -e, even for the plural. potatoes is correct for the plural though, never potatos