Mastering Factoring Quadratic Expressions: Step-By-Step Guide With Example Of X²+3X-40

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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