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

Question

asked Mar 27, 2017 209k views

2 Answers

Wallter · Answer 1 · 2017-04-02T19:56:24+0000

Answer:

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.