Question

What are the factors of the expression below?
-2x^2 + 5x-3

Answer 1

The factors of the expression -2x^2 + 5x - 3 are (x - 3)(2x - 1).

Step-by-step explanation:

To factor the expression, we can use various methods, such as:

1. Factoring by grouping:

Group the terms so that each group has a common factor: (-2x^2 + 5x) + (-3), then (*x - 3)(*2x - 1).

2. Using the quadratic formula:

Solve the quadratic equation -2x^2 + 5x - 3 = 0. The solutions will be the roots of the expression, and factoring based on these roots will give you the final form.

In both cases, you will arrive at the same factorized form: (x - 3)(2x - 1).

Therefore, the expression -2x^2 + 5x - 3 can be factored into (x - 3)(2x - 1).

Answer 2

`-2x^2+5x-3=(x-1)(-2x+3)`

Step-by-step explanation:

Given expression,
`-2x^2+5x-3`

`-2x^2+5x-3=-2x^2+2x+3x-3`

`=(-2x^2+2x)+(3x-3)`

Take common factor,

`=-2x(x-1)+3(x-1)`

`=(x-1)(-2x+3)`