1. Factorise
3х
- 10x +8​

This question is incomplete, it should read 3x² - 10x + 8. The answer is (3x-4) (x-2).

Please find the solved explanation to this question attached

Explanation:

To factorize means to write an expression as a product of its factors using brackets. It is the opposite of expanding an algebraic expression i.e. it involves contracting it using factors common to the variables.

In this question, 3x² - 10x + 8 is given

For the sum, which is -10x, and product, which is 24x², -6x and -4x are the two variables whose sum will give rise to -10x and also whose product will give rise to 24x².

We have;

3x² - 10x + 8

3x² - 6x - 4x + 8

Next, we look for factors of each pair of expression.

3x (x - 2) - 4 (x - 2)

(3x - 4) (x - 2)