Respuesta :
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 ).
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