Question

( y^{3}-2 y^{2}+y+4=0 )
Hit and
[
begin{array}{c}
n d text { trial } g=1 mid y=2
1-2+1+4
x
end{array}left|begin{array}{c}
8-4+2+4
x
end{array}right| begin{array}{c}
y=-1
-1-2-1+4
=0
end{array}
]
lena ( (2 y+1) ) is a soluhion, dividing
[
begin{array}{l}
begin{aligned}
y+1) sqrt{y^{3}-2 y^{2}+y+4} &left(y^{2}-3 y+4right)-(y+1)=P(y)
frac{-y^{3} pm y^{2}}{-3 y^{2}+y} & y^{2}
end{aligned}
end{array}
]
alcoays pesitive ( frac{-3 y^{2}-3 y}{4 y+4} )
[
frac{-4 y+4}{00}
]
( therefore ) only one soluhion ( [y=-1] )

# Find all the integral zeros of the polynomials PV) y-2y+y+4.

Solution