x²+7x-8
(x+8)(x-1)
To factor the expression x²+7x-8, we need to find two numbers that multiply to -8 and add to 7. These numbers are -1 and 8.
So, we can rewrite the expression as:
x² + 7x – 8 = x² – x + 8x – 8
Now, we can group the first two terms and the last two terms and factor them separately:
x² – x + 8x – 8 = x(x-1) + 8(x-1)
Notice that both terms have a common factor of (x-1), so we can factor this out:
x(x-1) + 8(x-1) = (x-1)(x+8)
Therefore, we have factored the expression x²+7x-8 as (x-1)(x+8).
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