AnswersAlgebra III ASolving Quadratic Equations: Completing the Square

Introduction to the Quadratic Formula Answers

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Which equations have a leading coefficient of 3 and a constant term of –2? Check all that apply. 0 = 3x2 + 2x – 20 = –2 – 3x2 + 30 = –3x + 3x2 – 2 0 = 3x2 + x + 20 = –1x – 2 + 3x2

A
0 = 3x2 + 2x – 2
B
0 = –2 – 3x2 + 3
C
0 = –3x + 3x2 – 2
D
0 = 3x2 + x + 2
E
0 = –1x – 2 + 3x2
82021

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Answer:

140

82022

Consider the function f(x) = 3x2 + 7x + 2.

Answers:
Selection 1:2
Selection 2:two real number solutions
82023

0123

A
0
B
1
C
2
D
3
82024

zero real number solutionsone real number solutiontwo real number solutions

A
zero real number solutions
B
one real number solution
C
two real number solutions
82025

Which operation is performed in the derivation of the quadratic formula moving from Step 6 to Step 7?

A
subtracting from both sides of the equation
B
squaring both sides of the equation
C
taking the square root of both sides of the equation
D
taking the square root of the discriminant
82026

Which values of c will cause the quadratic equation –x2 + 3x + c = 0 to have no real number solutions? Check all that apply. –5 negative nine-halves negative one-quarter 1 StartFraction 9 Over 4 EndFraction

A
–5
B
Option
C
Option
D
1
E
Option
82028

–17253173

A
–17
B
25
C
31
D
73

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