Writing Polynomials given Zeros/Roots

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+1
Standards-aligned
Wayground Content
FREE Resource
Student preview

15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
What is a polynomial?
Back
A polynomial is a mathematical expression consisting of variables (or indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.
2.
FLASHCARD QUESTION
Front
What does it mean for a polynomial to have zeros/roots?
Back
Zeros or roots of a polynomial are the values of the variable that make the polynomial equal to zero.
Tags
CCSS.HSF-IF.C.7C
3.
FLASHCARD QUESTION
Front
If a polynomial has a zero at x = r, what can be said about the factor of the polynomial?
Back
If x = r is a zero of the polynomial, then (x - r) is a factor of the polynomial.
Tags
CCSS.HSA.APR.B.2
4.
FLASHCARD QUESTION
Front
What is the relationship between real and imaginary roots of polynomials?
Back
Imaginary roots of polynomials always come in conjugate pairs. If a + bi is a root, then a - bi is also a root.
Tags
CCSS.HSN.CN.C.9
5.
FLASHCARD QUESTION
Front
How do you write a polynomial given its zeros?
Back
To write a polynomial given its zeros, multiply the factors corresponding to each zero. For example, if the zeros are r1, r2, and r3, the polynomial is P(x) = k(x - r1)(x - r2)(x - r3), where k is a constant.
Tags
CCSS.HSA.APR.B.3
6.
FLASHCARD QUESTION
Front
What is the degree of a polynomial?
Back
The degree of a polynomial is the highest power of the variable in the polynomial expression.
7.
FLASHCARD QUESTION
Front
What is the least degree polynomial with given zeros?
Back
The least degree polynomial with given zeros is the polynomial formed by multiplying the factors corresponding to each zero, without any repeated factors.
Tags
CCSS.HSF-IF.C.7C
Create a free account and access millions of resources
Similar Resources on Wayground
14 questions
Polynomial Zeros and Multiplicity Factoring

Flashcard
•
9th - 12th Grade
15 questions
Graphing Polynomials

Flashcard
•
10th - 12th Grade
15 questions
Zeros and Multiplicity

Flashcard
•
10th - 12th Grade
15 questions
Zeros & Multiplicity

Flashcard
•
10th - 12th Grade
14 questions
PC Ch 2 - Zeros of Polynomial Functions

Flashcard
•
11th Grade - University
15 questions
Rational Root Theorem

Flashcard
•
10th - 12th Grade
15 questions
LT#9: Polynomial Sketching

Flashcard
•
10th - 12th Grade
15 questions
Zeroes and Multiplicity of Polynomial Equations

Flashcard
•
10th - 11th Grade
Popular Resources on Wayground
10 questions
Lab Safety Procedures and Guidelines

Interactive video
•
6th - 10th Grade
10 questions
Nouns, nouns, nouns

Quiz
•
3rd Grade
10 questions
9/11 Experience and Reflections

Interactive video
•
10th - 12th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
11 questions
All about me

Quiz
•
Professional Development
22 questions
Adding Integers

Quiz
•
6th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
9 questions
Tips & Tricks

Lesson
•
6th - 8th Grade
Discover more resources for Mathematics
16 questions
Segment Addition Postulate

Quiz
•
10th Grade
20 questions
Parallel Lines and Transversals Independent Practice

Quiz
•
10th Grade
16 questions
Parallel Lines cut by a Transversal

Quiz
•
10th Grade
20 questions
Solving Multi-Step Equations

Quiz
•
10th Grade
20 questions
Midpoint and Distance

Quiz
•
10th Grade
12 questions
Conditional Statement Practice

Quiz
•
10th Grade
20 questions
Multi-Step Equations and Variables on Both Sides

Quiz
•
9th - 12th Grade
17 questions
Parallel lines cut by a transversal

Quiz
•
10th Grade