The factorized form of the expression ( 2x² - x - 6 ) is ( 2x + 3 )( x - 2 ).
Hence, the missing values are 3 and 2 respectively.
What is the factorized form of the expression?
Given the expression: 2x² - x - 6
First, we factor -1 out of -x
2x² - x - 6
2x² -1(x) - 6
Not that, -1 can also be written as 3-4
2x² + (3-4)x - 6
2x² + 3x - 4x - 6
Next, we group the first two terms and the last two terms and factor out the GCF
(2x² + 3x) - 4x - 6
x(2x + 3) - 2( 2x + 3)
Factor out the GFC which is ( 2x+3 )
We have; ( 2x + 3 )( x - 2 )
The factorized form of the expression ( 2x² - x - 6 ) is ( 2x + 3 )( x - 2 ).
Hence, the missing values are 3 and 2 respectively.
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