Factor each polynomial completely. Indicate any that are not factorable

Agohofidov6

Agohofidov6

Answered question

2021-12-07

Factor each polynomial completely. Indicate any that are not factorable using integers. 4n2+9

Answer & Explanation

Annie Gonzalez

Annie Gonzalez

Beginner2021-12-08Added 41 answers

Step 1
The given polynomial is a quadratic polynomial.
To find the factors of a polynomial first take out the Greatest Common Factor (GCF) from the polynomial. In the given polynomial, 4n2+9, one is the GCF, so no need to factor out 1 as GCF.
Next, use the grouping method to factor the expression 4n2+9.
4n2+9=1(4n2+9)
There is no possible way to group the expression to get the factored form that contains integer factors, except integer 1.
Step 2
For the polynomial, 4n2+9, there is no integer factor possible by using any factorization method. Therefore, the polynomial 4n2+9 is not factorable with the integer factors.

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