
Understanding Polynomial Roots

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Lucas Foster
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the sum of the roots of a polynomial?
Convert the polynomial to have a leading coefficient of 1
Find the derivative of the polynomial
Set the polynomial equal to 1
Multiply all coefficients by 2
Tags
CCSS.HSA-REI.B.4B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For a quadratic equation ax^2 + bx + c = 0, what is the sum of its roots?
-c/a
-b/a
b/a
c/a
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of polynomial roots, what does the term 'degree' refer to?
The sum of the coefficients
The constant term
The highest power of x in the polynomial
The number of terms in the polynomial
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sum of the roots for the polynomial 2x^2 - 4x + 2 = 0?
2
-2
-4
4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a cubic polynomial, which coefficient is used to find the sum of the roots?
The leading coefficient
The coefficient of the x^2 term
The constant term
The coefficient of the x term
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sum of the roots for the polynomial x^3 + 3x^2 + 3x + 1 = 0?
1
-3
3
-1
Tags
CCSS.HSA.APR.B.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What mathematical method is used to generalize the sum of roots formula for any degree polynomial?
Mathematical induction
Integration
Differentiation
Matrix multiplication
Tags
CCSS.HSN.CN.A.3
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