Question

Determine, if possible, if (y – 1) is a factor (y3 – 9y2 + 10y +5).

A. No
B. Yes
C. Only if x = –1
D. Not enough information to determine

Answer 1

I hope this helps you



C

Answer 2

Option A.

Explanation:

We have
`P(y)=y^3-9y^2+10y+5` and (y-1) is a factor of P(y) if and only if P(1)=0, this means if:

y-1=0

y=1

Now we have to replace y=1 in
`P(y)=y^3-9y^2+10y+5` this is:

`P(1)=1^3-9.(1)^2+10.(1)+5\\P(1)=1-9+10+5\\P(1)=7\\eq 0`

Then
`P(1)\\eq 0` this means that (y-1) isn't a factor of
`y^3-9y^2+10y+5`.

And the correct option is A.