Polynomial Functions
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a polynomial function?
Back
A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. The general form is: f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n ≠ 0.
2.
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. For example, in the polynomial f(x) = 2x^3 - 4x + 1, the degree is 3.
3.
FLASHCARD QUESTION
Front
How do you determine the number of solutions for a polynomial equation?
Back
The number of solutions (or roots) of a polynomial equation can be determined by its degree. A polynomial of degree n can have up to n real solutions.
4.
FLASHCARD QUESTION
Front
What is the quadratic formula?
Back
The quadratic formula is used to find the solutions of a quadratic equation of the form ax^2 + bx + c = 0. It is given by: x = (-b ± √(b² - 4ac)) / (2a).
Tags
CCSS.HSA-REI.B.4B
5.
FLASHCARD QUESTION
Front
What is the maximum number of turns a polynomial graph can have?
Back
The maximum number of turns a polynomial graph can have is one less than its degree. For example, a polynomial of degree 4 can have at most 3 turns.
6.
FLASHCARD QUESTION
Front
What is a root of a polynomial?
Back
A root of a polynomial is a value of x that makes the polynomial equal to zero. For example, if f(x) = x^2 - 4, then the roots are x = 2 and x = -2.
Tags
CCSS.HSF-IF.C.7C
7.
FLASHCARD QUESTION
Front
What is the leading coefficient of a polynomial?
Back
The leading coefficient of a polynomial is the coefficient of the term with the highest degree. For example, in f(x) = 3x^4 + 2x^3 - x + 5, the leading coefficient is 3.
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