What is the third-degree polynomial function such that f(0) = -18 and whose zeros are 1, 2, and 3?
Choose one answer.
a. f(x) = 2x3 - 12x2 + 18x - 18
b. f(x) = 3x3 + 18x2 - 33x - 18
c. f(x) = 2x3 + 12x2 - 18x - 18
d. f(x) = 3x3 - 18x2 + 33x - 18

Question

What is the third-degree polynomial function such that f(0) = -18 and whose zeros are 1, 2, and 3?
Choose one answer.
	a. f(x) = 2x3 - 12x2 + 18x - 18 	
	b. f(x) = 3x3 + 18x2 - 33x - 18 	
	c. f(x) = 2x3 + 12x2 - 18x - 18 	
	d. f(x) = 3x3 - 18x2 + 33x - 18

amistre64 · Answer

there are zero negative roots; which means we dont have a sign change in f(-x) is one property we need

amistre64 · Answer

that would narrow it down to a or d

amistre64 · Answer

the next step you could take is to plug in the roots to see which one gets zeros with them

amistre64 · Answer

try x=1

2x3 - 12x2 + 18x - 18 

2 - 12 + 18 - 18  = 0??

-10 = 0 is false so its gotta be d

anonymous · Answer

Thank you!

amistre64 · Answer

youre welcome