How To Factor Quadratic Expressions: Step-By-Step Guide For X²+7X-8



To factor the expression x²+7x-8, we need to find two numbers that can multiply to give -8 and add up to 7.

The two numbers that multiply to -8 are either -1 and 8 or -2 and 4. However, since we need their sum to be positive 7, we know that the numbers must be 8 and -1, so we can write:

x² + 7x – 8 = (x + 8)(x – 1)

Therefore, the factored form of x²+7x-8 is (x + 8)(x – 1).

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