All the real zeros of the given polynomial are integers.

stop2dance3l

stop2dance3l

Answered question

2021-12-14

All the real zeros of the given polynomial are integers. Find the zeros, and write the polynomial in factored form.
P(x)=x3+3x2x3

Answer & Explanation

Gerald Lopez

Gerald Lopez

Beginner2021-12-15Added 29 answers

Step 1
P(x)=x3+3x2x3
To find the zeroes of the polynomial, let p(x)=0
So,
0=x3+3x2x3
0=x2(x+3)1(x+3)
0=(x21)(x+3)
0=(x2(1)2)(x+3)
0=(x-1)(x+1)(x+3)
Step 2
Zeroes of the given polynomials are
x=-1
x=1
and (x+3)
The polynomial in the factored form is:
P(x)=(x-1)(x+1)(x+3)
rodclassique4r

rodclassique4r

Beginner2021-12-16Added 37 answers

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