Algebra-1

To factor the quadratic expression x² + 3x - 54 by grouping:

The quadratic expression is x² + 3x - 54, where:
a = 1 (coefficient of the quadratic term),
b = 3 (coefficient of the linear term),
c = -54 (constant term).

We need to find two numbers that multiply to ac (1 * -40 = -54) and add up to b (3).

The numbers that satisfy these conditions are -6 and 9:
-6 * 9 = -54 (product = ac)
-6 + 9 = 3 (sum = b)

Now we can rewrite the quadratic expression by spl...