Find the rational roots of the polynomial and write the

Julia White

Julia White

Answered question

2021-12-15

Find the rational roots of the polynomial and write the polynomial P(x) factored if
P(x)=x33x2

Answer & Explanation

alkaholikd9

alkaholikd9

Beginner2021-12-16Added 37 answers

Step 1
P(x)=x33x2
x33x2=0
x34x+x2=0
x(x24)+x2=0
x(x-2)(x+2)+x-2=0
Step 2
(x-2)(x(x+2)+1)=0
(x2)(x2+2x+1)=0
(x-2)(x+1)^{2}=0
x2=0x=2
(x+1)2=0x=1
The root are x=-1
and x=2
P(x)=(x2)(x+1)2
twineg4

twineg4

Beginner2021-12-17Added 33 answers

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