Algebra-1

To factor the quadratic expression x² + 3x - 40 by grouping:

The quadratic expression is x² + 3x - 40, where:
a = 1 (coefficient of the quadratic term),
b = 3 (coefficient of the linear term),
c = -40 (constant term).

We need to find two numbers that multiply to ac (1 * -40 = -40) and add up to b (3).

The numbers that satisfy these conditions are -5 and 8:
-5 * 8 = -40 (product = ac)
-5 + 8 = 3 (sum = b)

Now we can rewrite the quadratic expression by splitting the middle term:

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