solving quadratic equations: zero product property

Which statement describes the graph of f(x) = 4x2 + 20x + 25?

The graph touches the x-axis at (-2.5, 0).

Which function has real zeros at x = 3 and x = 7?

f(x) = x2 - 10x + 21

Which function has zeros at x = 10 and x = 2?

f(x) = x2 - 12x + 20

Blake knows that one of the solutions to x2 - 6x + 8 = 0 is x = 2. What is the other solution?

x = 4

One of the solutions to x2 − 2x − 15 = 0 is x = −3. What is the other solution?

x = 5

The function g(x) = x2 - 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis?

(4, 0) and (6, 0)

An equation has solutions of m = -5 and m = 9. Which could be the equation?

(m + 5)(m - 9) = 0

Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f(x) = 4x2 - 24x + 20?

1+5/2 = 3

A function f(x) has x-intercepts of -3 and -5. What is the constant term in the function? f(x) = x2 + 8x +

15

The roots of the function f(x) = x2 - 2x - 3 are shown. What is the missing number? x = -1 and x =

3