Question

Find the common factor of all the terms of the polynomial below. 14x^2-12x

Answer 1

 =14x^2-12x    =2x(7x-6)

Answer 2

common factor is 2x

Explanation:

`14x^2-12x`, to find out common factor we write the factors of each term

`14x^2 ---> 7 \cdot 2 \cdot x \cdot x`

`12x ---> 3 \cdot 2 \cdot 2 \cdot x`

Common for both is 2 and x

So common factor is 2x

When we take out 2x in common then write the remaining terms inside the parenthesis

`2x(7x-6)`