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The factored expression of -3x^2 +17x -20 is (-3x + 5)(x-4)

How to factor the expression?

The expression is given as:

-3x^2 +17x -20

Expand the expression

-3x^2 +12x + 5x -20

Factorize the expression

-3x(x - 4) + 5(x - 4)

Factor out x - 4

(-3x + 5)(x-4)

Hence, the factored expression of -3x^2 +17x -20 is (-3x + 5)(x-4)

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The factorized form of the expression -3x^2 +17x -20 is -(x - 4 ) (3x - 5 ).

What is the factorized form of the expression?

Given the expression; -3x² + 17x - 20

First we factor out -1

-3x² + 17x - 20

-1( 3x² - 17x + 20 )

Next, we find two number that there addition is 17 and multiplication is 60.

We have -5 and -12

Hence;

-1( 3x² - 5x- 12x + 20 )

Now, we factor out the greatest common factors

-( x( 3x  - 5 ) -4( 3x - 5 )

-(x - 4 ) (3x - 5 )

Therefore, the factorized form of the expression -3x^2 +17x -20 is -(x - 4 ) (3x - 5 ).

Learn more about factorization here: https://brainly.com/question/13938055

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