
Discriminant and Multiplicity
Presentation
•
Mathematics
•
11th Grade
•
Medium
+2
Standards-aligned
Crissy Matlick
Used 1+ times
FREE Resource
3 Slides • 16 Questions
1
2
Multiple Choice
1 What does the discriminant tell us?
The maximum or minimum
The y-intercept
The number and type of solutions
The axis of symmetry
3
Multiple Choice
4
A positive discriminant indicates that the quadratic has two distinct real number solutions.
A discriminant of zero indicates that the quadratic has a repeated real number solution.
A negative discriminant indicates that neither of the solutions are real numbers. They are complex numbers.
5
Drag and Drop
A discriminant of
A
6
Multiple Choice
If the discriminant is positive, then the solution will be
one real solution
two real solutions
no real solutions
one imaginary solution
7
Match
Match the following
6x2+10x+1=0
x2−9x−2=0
9x2+x+7=0
x2−8x+16=0
D=76
2 real solutions
D=89
2 real solutions
D=-251
2 complex solutions
D=0
1 real solution
D=76
2 real solutions
D=89
2 real solutions
D=-251
2 complex solutions
D=0
1 real solution
8
Multiple Choice
For the function below, is the discriminant positive, negative, or zero?
___________
y = x² + 4x + 4
Positive
Negative
Zero
Not Sure
9
Multiple Choice
What is the discriminant of -2x2 − x − 1 = 0
76
-7
9
none of these
10
Multiplicity
11
Multiple Choice
Find and select each real zero and its multiplicity
12
Multiple Choice
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4 with Degree: 7
13
Multiple Choice
A polynomial function has zeros at -1,2, and 7 (all multiplicity of 1). Write a function rule that could represent this function.
f(x)=(x+1)(x−2)(x−7)
f(x)=(x−1)(x+2)(x+7)
f(x)=(x+1)2(x−2)2(x−7)2
f(x)=(x−1)2(x+2)2(x+7)2
14
Multiple Choice
Determine the zeros and multiplicity for the function:
f(x)=(x−2)3(x+1)2(x−9)5
2m3, −1m2, 9m5
−2m3, 1m2,−9m5
3m2, 2m−1, 5m9
2m3, 1m2, 9m5
15
Multiple Choice
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a = 4, b = -8, c = 3
a = 4, b =-8, c =-3
a = 4, b = 8, c = 3
a = 4, b = 8, c = -3
16
Multiple Choice
When in standard form, what is the value of a, b and c in this quadratic?
7x2 - 4x + 3 = 5x2 + 8
a = 2 b = -4 c = -5
a = 7 b = -4 c = 3
a = 2 b = -4 c = 5
a = 12 b = -4 c = -5
17
Multiple Choice
18
Multiple Choice
The quadratic formula can be used to solve quadratic equations that can or cannot be factored.
True
False
19
Multiple Choice
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