Solving Quadratic Equations: Zero Product Property Assignment

Complete the equation so that it has solutions of -5 and 7. x2

-2 -35

What are the solutions of x2 + 10x + 16 = 0? Write the equation in standard form. Factor the polynomial. Apply the zero product property. Solve the resulting equations. x2 + 10x + 16 = 0 (x + 2)(x + 8) = 0 x + 2 = 0 or x + 8 = 0 x =

-2 -8

What are the solutions of 6x2 + 2x - 20 = 0?

-2 5/3

Harrison plays a game in which he uses a net to catch balls that are randomly launched from holes in the ground. The height of one ball after t seconds is represented by the function f(t) = -16t2 + 20t. After how many seconds does the ball return to the ground? Round to the hundredths place as needed.

1.25

Which functions have real zeros at 1 and 4? Check all that apply.

2 4

Which statements describe the graph of y = 4x2 + 28x + 49? Check all that apply.

2 4 5

What are the solutions of 3(x - 4)(2x - 3) = 0? Check all that apply.

4 6

What are the roots of y = x2 - 3x - 10?

B

What are the key aspects of the graph of f(x) = x2 - b2, where b is a real number?

The graph will have opposite x-intercepts of b and -b and be symmetrical about the y-axis. The graph will have a y-intercept at -b2.