Question

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
4n3+6n2

Answer 1

Answer:

2n^2

Step-by-step explanation:

The greatest common factor (GCF) in a polynomial is the factor by which all the terms in the polynomial can be divided. In order to find this factor, you need to completely factor both terms in the polynomial and then note down which ones they have in common:

Step 1: 4n^3 + 6n^2 (Given polynomial)

Step 2: 2*2*n*n*n + 2*3*n*n (Factor the polynomial)

Step 3: 2*2*n*n*n + 2*3*n*n (Identify shared factors)

Step 4: 2*n*n = 2n^2; the GCF is 2n^2 (Multiply the shared factors by each other to get the GCF)

Answer 2

The greatest common factor of the above polynomial is $2n^{2}$.

We have a polynomial as -

$4n^{3} +6n^{2}$

We have to find out the greatest common factor of this polynomial.

Define Greatest common factor.

The greatest factor is the largest number that is the factor of two or more numbers.

We have the following polynomial -

f(n) = $4n^{3} +6n^{2}$

We can write the function as -

f(n) = $f_{1}(n) +f_{2}(n)$

In order to find the greatest common factor, take out all the common terms from the individual functions $f_{1}(n)$ and $f_{2}(n)$.

Therefore, we can write the above function f(n) as -

f(n) =  $2n\times2n^{2} + 2n^{2}\times3 \;\;= \;\;2n^{2} (2n +3)$

Hence, the greatest common factor of the above polynomial is $2n^{2}$.

To solve more questions on Greatest common factor, visit the link below

https://brainly.com/question/1983426

#SPJ2