To factor the quadratic expression x² + 3x – 40, we need to find two numbers that multiply to give -40 and add up to 3. These two numbers are -5 and 8.
So, we can rewrite the expression as:
x² + 3x – 40 = (x – 5)(x + 8)
Therefore, the factored form of the quadratic expression x² + 3x – 40 is (x – 5)(x + 8).
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