7.6 Factoring trinomials with "a" greater than 1 Homework Day 2

Factor the polynomial:

−7v^{2} − 25v − 12

MODELING REAL LIFE

The height h (in feet) above the water of a cliff diver is modeled by

h = −16t^{2} + 8t + 80, where t is the time (in seconds).

What does the constant term represent?

How long is the diver in the air?

sec.

Solve the equation.

2k^{2} − 5k − 18 = 0

Smaller root:

Larger root:

Solve the equation.

2k^{2} − 5k − 18 = 0

Smaller root:

Larger root:

Solve the equation.

14b^{2} − 2 = −3b

Smaller root:

Larger root:

Find the x-intercepts of the graph:

Smaller intercept:

Larger intercept:

MODELING REAL LIFE

The Amalie Arena in Tampa contains the largest high-definition center-hung display in the country. The rectangular display has an area of about 1400 square feet and its width is 6 feet less than twice its height. Find the width and height of the display. Let h be the height of the display. (use {w} for width and {h} for height)

Write an expression for the width of the display:

Width:

Height: