What's the factor of
2x² + 3x -5?
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What's the factor of 2x² + 3x -5?
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Answer:
SOLUTION STEPS
Factor the expression by grouping. First, the expression needs to be rewritten as 2x2+ax+bx−5. To find a and b, set up a system to be solved.
Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −10.
Calculate the sum for each pair.
The solution is the pair that gives sum 3.
rewrite
Factor out 2x in the first and 5 in the second group.
Factor out common term x−1 by using distributive property.
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