Question

Let f(x) = -3x³ + 9x² - 5x + 15. Use the Factor Theorem to help answer the

following questions.
a) Is a
O Yes
O No
b) Is x + 1 a factor of f(x)?
O Yes
No
1 a factor of f(x)?
c) Is a 3 a factor of f(x)?
O Yes
O No

Answer 1

See below. I added words tro the first question "Is a" so that I could answer it.

Explanation:

f(x) = -3x³ + 9x² - 5x + 15

f(x) = -(x-3)(3x² + 5)

x((9-3x)x-5)+15

-3(x-1)
`x^(3)` + 4(x-1) + 16

=======

a) Is a [ghost happy]?

O Yes Yes, as long as it can haunt.

O No

b) Is x + 1 a factor of f(x)?

O Yes Yes

No

1 a factor of f(x)?

Always

c) Is a 3 a factor of f(x)?

O Yes

O No No, as far as I can see.