Factor each polynomial completely. If the polynomial cannot be factored,

Lorraine Harvey

Lorraine Harvey

Answered question

2021-12-14

Factor each polynomial completely. If the polynomial cannot be factored, say it is prime.
x4x3+x1

Answer & Explanation

Lakisha Archer

Lakisha Archer

Beginner2021-12-15Added 39 answers

Step 1
Given that :
The polynomial is x4x3+x1.
Step 2
To find factors of the polynomial :
Consider the polynomial,
x4x3+x1=x3(x1)+1(x1)
=(x3+1)(x1)
=(x3+13)(x1)
=(x+1)(x2x+12)(x1).(a3+b3=(a+b)(a2ab+b2))
=(x+1)(x1)(x2x+1)
x4x3+x1=(x+1)(x1)(x2x+1)
Therefore,
The factors of the polynomial is x4x3+x1=(x+1)(x1)(x2x+1).
Wendy Boykin

Wendy Boykin

Beginner2021-12-16Added 35 answers

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