Factor completely each polynomial, and indicate any that are not

Shelia Lawrence

Shelia Lawrence

Answered question

2021-12-20

Factor completely each polynomial, and indicate any that are not factorable using integers. 116x4

Answer & Explanation

censoratojk

censoratojk

Beginner2021-12-21Added 46 answers

Step 1:Given and formula
116x4
Formula
a2b2=(a+b)(ab)
Step 2:Solution
116x4
=(12)2((2x)2)2
=(1(2x)2)(1+(2x)2)
=(1+2x)(12x)(1+4x2)
Answer: (1+2x)(12x)(1+4x2)
Hattie Schaeffer

Hattie Schaeffer

Beginner2021-12-22Added 37 answers

Consider the polynomial 116x4.
The above polynomial can be solved as follows.
116x4=(1)(4x2)2 Match the expression with format a2b2
=(14x2)(1+4x2) As a2b2=(a+b)(ab)
=((1)2(2x)2)(1+4x2)
=(1+2x)(12x)(1+4x2) As a2b2=(a+b)(ab)
So the Complete factor is (1+2x)(12x)(1+4x2).

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