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12-41.
  1. Solve each equation or inequality below, if possible. Check your solution. Homework Help ✎

    1. −(x − 3)(x + 1) = 4

    2. 10 | x − 3 | > 40

    3. (x − 5)3 = 8

Use a generic rectangle to multiply the factors together then distribute the negative and solve.

Set the equation equal to 0. Then use a generic rectangle to factor and solve for x using the Zero Product Property.

Solve for the absolute value then make two equations to remove the absolute value.

x − 3 = 4 or x − 3 = −4
x = 7 or x = −1

Test numbers to determine which region is the solution.

What number cubed equals 8?