Question

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

Answer 1

Answer:

Option A.

Step-by-step 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:

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

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

And the correct option is A.

Answer 2

I hope this helps you



C