algebra 2 i need help on this one

Question

Use the Factor Theorem to determine whether the binomial x + 1 is a factor of the polynomial function ƒ(x) = 2x3 – 9x2 + 13x – 6.

No, because ƒ(c) = –4

Yes

No, because ƒ(c) = 14

No, because ƒ(c) = –30

choose the letters i submitted

Answer 1

Using synthetic division to see if x+1 is a factor

-1 | 2 -9 13 -6

-2 11 -24

2 -11 24 -30

No, because ƒ(c) = –30

Answer 2

Hi Christiaan,

With Factor Theorem, you evaluate f(c) and (x-c) will be a factor if f(c) = 0.

Here, c = -1, you evaluate f(-1) and check if it is zero or not.

You should then be able to decide if (x+1) is a factor or not.

I will leave the actual calculation to you, but please let me know if you need further help.