x²-7x-44
(x+4)(x-11)
The expression x²-7x-44 is a quadratic expression.
To factor this expression, we need to find two numbers that multiply to -44 and add up to -7 (the coefficient of x).
To do this, we can make a list of factor pairs for 44:
1 x 44
2 x 22
4 x 11
Since the sign of -44 is negative, one of the factors must be negative and the other must be positive. We want their sum to be -7, so we can see that -11 and 4 are the factors we need:
(x – 11)(x + 4)
So the factored form of x²-7x-44 is (x – 11)(x + 4).
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