Question

f(x) = 3x³ + 4x² - x + 9 for x = -2 (Direct Substitution: f(-2) = Synthetic Substitution: The ordered pair that is the solution to this polynomial is ( , )

Answer 1

We have the next function

`f(x)=3x^3+4x^2-x+9`

Direct Substitution

for x=-2

`f(-2)=3(-2)^3+4(-2)^2-(-2)+9=3`

Synthetic Substitution

for x=-2

-2 | 3 4 -1 9

-6 4 -6

______________

3 -2 3 3

the result is 3, the result is given by the bold number

the ordered pair is

(-2,3)