Factor completely each polynomial, and indicate any that are not

Harold Kessler

Harold Kessler

Answered question

2021-12-14

Factor completely each polynomial, and indicate any that are not factorable using integers. x3+125

Answer & Explanation

redhotdevil13l3

redhotdevil13l3

Beginner2021-12-15Added 30 answers

Step 1
The given polynomial: x3+125
Step 2
Factoring sum of two cubes:
a3+b3=(a+b)(a2ab+b2)
Step 3
x3+125=x3+53
=(x+5)(x2(x)(5)+52)
=(x+5)(x25x+25)
Step 4
x3+125=(x+5)(x25x+25)

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