Factor completely each of the trinomials and indicate any that

Karen Simpson 2021-12-16 Answered
Factor completely each of the trinomials and indicate any that are not factorable using integers. x4x212
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Expert Answer

Debbie Moore
Answered 2021-12-17 Author has 43 answers
Step 1
We have to factorize the following trinomial:
x4x212
Step 2
Then we get,
x4x212
=x44x2+3x212
=x2(x24)+3(x24)
=(x24)(x2+3)
=(x+2)(x2)(x2+3)
This is the required factorization.

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Bob Huerta
Answered 2021-12-18 Author has 41 answers
Let us consider the polynomial of x4x212
So x4x212=(ax2+b)(cx2+d)
Since the product of the first terms is x4, and the product of the last terms must be -12; the sum of the outer terms and inner terms must be x2. Of the many factorization of x4 and -12, only x2 and x2, -4 and 3 leads to middle term of x2.
So we have
=(x24)(x2+3)
=(x222)(x2+3)
=(x+2)(x2)(x2+3)

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