The factored form of the given expression x² + x - 2 is ( x - 1 )( x + 2 ).
What is the factored form of the given expression?
Given the expression;
x² + x - 2
Consider the standard form ax² + bx + c compared to the given expression;
Now, we find a pair of integers whose product gives the value of c which is -2 and whose sum gives the value of b which is 1.
The integers are -1 and +2.
Check
-1 × 2 = -2
-1 + 2 = 1
Now, we write the factored form using these integers.
( x - 1 )( x + 2 )
Therefore, the factored form of the given expression x² + x - 2 is ( x - 1 )( x + 2 ).
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