Question

-x2+5x-6x factorisation of this yields?

Answer 1

−    (    +  1  )

Step-by-step explanation:

1. We start by finding the common terms in the equation

$-x^2 + 5x - 6x$

Here we can clearly see that 5x and 6x are common terms and therefore, can be subtracted.

$-x^2 - x$

Since there are no more common terms, we move on to the next step.

2. Now, we find the common factor in the equation.

The common factor here is -1. We then take out the common factor and put the remaining equation within brackets:

$-1 ( x^2 - x )$

3. Finally, we rewrite the factored form.

It can be seen that x is a common factor within the brackets. therefore, we multiply x outside the bracket and keep the remainder within the bracket.

$-x (x+1)$

Another common factor cannot be identified.

∴ this is the simplest solution and thus, the final solution.