Question

Help! Will fan and medal!

What is a polynomial function in standard form with zeroes 1, 2, 3, and -3?
a. x^4-3x^3+7x^2-27x-18
b.x^4+3x^3-7x^2-27x-18
c. x^4-3x^3-7x^2+27x-18
d. x^4+3x^3-7x^2-27x-18

Answer 1

@campbell_st @satellite73

Answer 2

Sorry their both offline and I dont know this

Answer 3

they're*

Answer 4

Use the factor theorem which requires you so substitute the zero, x = 1 etc, to show f(1) = 0

if successful with the 1st substitution repeat with f(2), then f(3) and f(-3)

so as an example using the last equation

\[f(1) = 1^3 +3\times 1^3 - 7 \times 1^2 - 27 \times 1 - 18 = -48\]

so that eliminates the last equation.

the alternative is to expand

is x = 1 is a zero, then (x - 1) is a factor

(x -1)(x-2)(x-3)(x+3)

hope it helps.. it is a little tedious