Question

The irreducible factorisation of 3a^2+6ais​

Answer 1

Answer:

An irreducible factor is a factor which cannot be expressed further as a product of factors.

Such a factorization is called an irreducible factorization or complete factorization.

1 : Find irreducible factorisation of 3a^2 + 6a

Solu: 3a^2 + 6a = 3a(a + 2)

Since 3a(a2 + 2) is not further expressed as a product of other factors.

So, irreducible factorization of 3a^2 + 6a =3a(a + 2

Answer 2

Given,

$\[3{a^2} + 6a\]$

Solution,

Calculate the irreducible factors.

$\[ = 3{a^2} + 6a\]$

$\[ = 3a\left( {a + 2} \right)\]$

Hence the irreducible factor is $\[3a\left( {a + 2} \right)\]$