# solving by factoring applications

**Question description**

Find all solutions to the polynomial equation.

x^4 - 34x^2 + 225 = 0

a. 9, 25

b. 3, 5

c. 3, -3, 5, -5

d. 1, -1, 15, -15

Find all solutions to the polynomial equation.

3(3x - 4)(2x - 7) = 0

a. 4/3, 7/2

b. 3, -4/3, -7/2

c. -3, 4/3, 7/2

d. -4/3, -7/2

Find all solutions to the polynomial equation.

x(5x + 2) = 3

a.

b.

c.

d.

Find all solutions to the polynomial equation.

a. 4, -5

b. 4, 1

c. -4, -1

d. -5, 1

Find all solutions to the polynomial equation.

x3 - x = 2x2 - 2

a. 1, 2

b. -1, -2

c. -1, 1, -2

d. -1, 1, 2

The shorter leg of a right triangle is 3 centimeters less than the other leg. The hypotenuse is 15 centimeters. Which equation can be used to find the lengths of the legs of the right triangle?

a. (x-3)^2 + x^2 = 15^2

b. (x-3)^2 + (x+3)^2 =15^2

c. (x-3)^2 + (x-15)^2 = 0

d. (x+3)^2 + (x-15)^2 = 0

The shorter leg of a right triangle is 3 centimeters less than the other leg. The hypotenuse is 15 centimeters. What are the lengths of the legs of the right triangle?

a. 9, 6

b. 9, 12

c. 12, 15

d. 18, 21

After t seconds, the height h(t) of a model rocket launched from the ground into the air is given by the function below

h(t)= -16t2 + 80t

How long does it take the rocket to reach a height of 96 feet?

a. 1 seconds

b. 6 seconds

c. 2 seconds

d. 101 seconds

Which graph is shown by the polynomial function below?

g(x) = 2x(x - 2)(x + 1)

a.

b.

c.

d.

Which polynomial could be modeled by the graph of r(x) shown below?

a. r(x) = (x - 3)(x + 1)(x - 4)

b. r(x) = (x - 1)(x + 3)(x + 4)

c. r(x) = (x - 11)(x - 3)(x + 1)(x - 4)

d. r(x) = (x + 11)(x - 1)(x + 3)(x + 4)

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