Factoring Applications (10 MC problems)
By K Dodd
Solve the following equation by factoring: 8x2 + 34x + 15 = 0
Which of the following values is a solution to the quadratic equation:
3x2 – 9x = 12?
If 8x3 + 125 = 0, what must be true about the value of x?
If y = 6 is a solution of 2y2 + by – 72 = 0, what must be the value of b?
Find the correct set of factors for 6x2 – 87x + 81.
Solve by factoring: m2 – 14m – 48 = 0
Find the correct set of factors for 4p2 + 25.
Find the value of c that makes the following quadratic a perfect square trinomial:
9t2 – 36t + c
A 15-foot ladder is leaning against the side of a house. The top of the ladder reaches up the house three feet more than the distance the base of the ladder is from the bottom of the house. How high up the side of the house does the ladder reach?
A pool deck is to be built around a rectangular shaped pool. The deck is to be 5 feet wide on either long side of the pool & 3 feet wide on either short side of the pool. If the screened area in which you have to build the pool and deck can be no larger than 500 ft2, what are the largest possible dimensions for the pool?