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

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Last updated about 2 years ago
8 questions
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Question 1
1.
Factor the polynomial:
−7v^{2} − 25v − 12

_______
Question 2
2.
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.
Question 3
3.
Solve the equation.
2k^{2} − 5k − 18 = 0

Smaller root: _______
Larger root: _______
Question 4
4.
Solve the equation.
2k^{2} − 5k − 18 = 0

Smaller root: _______
Larger root: _______
Question 5
5.
Solve the equation.
14b^{2} − 2 = −3b

Smaller root: _______
Larger root: _______
Question 6
6.
Find the x-intercepts of the graph:

Smaller intercept: _______
Larger intercept: _______
Question 7
7.
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: _______
Question 8
8.

B.E.S.T. TEST PREP
What is the sum of the roots of the equation −2x^{2} + 7 = 13x?