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