The function below can be used to describe the motion of a ball thrown through the air.
f(x) = −x2 + 10x − 21
Which of the following shows the correct factorization of this function for f(x) = 0?
A.(x + 3)(x + 7) = 0
B.(x + 3)(x − 7) = 0
C.(−x + 3)(x − 7) = 0
D.(x − 3)(x + 7) = 0
MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula.
Which equation below could be used to solve the function
2
f(x) = x + x − 20 for x, if f(x) = 10?
A. (x + 5)(x + 4) = 10
B. (x − 5)(x − 4) = 10
C. (x + 6)(x − 5) = 0
D. (x + 5)(x − 6) = 0
MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula.
Daryl needs to solve the problem shown below by using the quadratic formula.
x2 + 7x + 1 = 31
Which of the following shows the quadratic formula being used
correctly to determine the solutions for this problem?
MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula.
Judith used a quadratic function to solve a problem. The
factored form of the function is shown below.
(x − 3)(x − 4) = 0
What is the sum of the solutions to the problem?
A. 3
B. 1
C. 7
D. 12
MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula.
Andrea used a quadratic function to solve a problem. The
factored form of the function is shown below.
(4x + 8)(6x − 3) = 0
What is the positive solution to the problem?
A.
B.
C.
D.
-2
0.5
2
5
MA.912.A.7.2: Solve quadratic equations by factoring and using the quadratic formula.