Question

Factor the given polynomial completely \. If the polynomial cannot be factored, say that is prime. y^4+10y^3+16y^2

A.y^4+10y^3+16y^2=_____
B. The polynomial is prime

Answer 1

y^4+10Y^3+16y^2=0

y^2(y^2+10y^1+16y^0)=0

y^2+10y+16=0

on doing. factors of 10y we get 8y+2y

y^2+8y+2y+16=0

y(y+8)+2(y+8)=0

(y+2)(y+8)=0

1.y+8=0

y=-8

2.y+2=0

y=-2

hence y =(-8,-2)

Answer 2

I took out the greatest common factor, which is y^2 and factored from there
You’ll end up with y^2(y+2)(y+8)
Here’s my work :)