Question

Factorise this expression as fully as possible 2x2 + 6x

Answer 1

Answer:

The factored expression is: $2x(x + 3)$

Step-by-step explanation:

We are given the following expression:

$2x^2 + 6x$

To factorize it as fully as possible, we first find the GCF between the numeric values, and the coefficients:

Numeric:

GCF between 2 and 6 is 2, because:

2 - 6| 2

1 - 3|

1 and 3 are not divisible by the same number, so 2.

Coefficient:

Between x² and x, x.

Factorizing:

Simplifying by 2x.

$2x(\frac{2x^2}{2x}+\frac{6x}{2x}) = 2x(x + 3)$

The factored expression is: $2x(x + 3)$