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What is the expression in factored form?
2x2+x−3
To factor the expression 2x^2 + x - 3, we need to find two binomials whose product is equal to the expression.
First, we look for two numbers whose product is 2 * -3 = -6 and whose sum is 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2.
We can rewrite the expression as:
2x^2 + 3x - 2x - 3
Now, we group the terms and factor out the greatest common factor from each group:
x(2x + 3) - 1(2x + 3)
Notice that we have a common binomial (2x + 3) in both terms. We can factor it out:
(2x + 3)(x - 1)
Thus, the expression 2x^2 + x - 3 is factored as (2x + 3)(x - 1).