Algebra-1

To factor the quadratic expression x² + 3x - 28 by grouping:

The quadratic expression is x² + 3x - 28, where:
a = 1 (coefficient of the quadratic term),
b = 3 (coefficient of the linear term),
c = -28 (constant term).

We need to find two numbers that multiply to ac (1 * -28 = -28) and add up to b (3).

The numbers that satisfy these conditions are -4 and 7:
-4 * 7 = -28 (product = ac)
-4 + 7 = 3 (sum = b)

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

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