Factor each of the following polynomials completely. Indicate any that

Harold Kessler

Harold Kessler

Answered question

2021-12-07

Factor each of the following polynomials completely. Indicate any that are not factorable using integers. Don’t forget to look first for a common monomial factor.
8y232

Answer & Explanation

Beverly Smith

Beverly Smith

Beginner2021-12-08Added 42 answers

Step 1
We have to factor the following polynomial:
8y232
Taking out the monomial 8 as a common factor we get,
8y232=8(y24)
The term (y24) is in the form of difference-of-squares:
(y24)=(y)2(2)2
Step 2
Now we will use the identity:
a2b2=(a+b)(ab)
Therefore we get,
(y24)=(y)2(2)2=(y+2)(y2)
Hence the required factorization is:
8y232=8(y+2)(y2).

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