Polynomial Function (non-calc)
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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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 n is a non-negative integer.
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 f(x) = 3x^4 + 2x^2 + 1, the degree is 4.
3.
FLASHCARD QUESTION
Front
What is a leading coefficient?
Back
The leading coefficient is the coefficient of the term with the highest degree in a polynomial. For example, in f(x) = 5x^3 + 2x^2 + 3, the leading coefficient is 5.
4.
FLASHCARD QUESTION
Front
What is a quartic function?
Back
A quartic function is a polynomial function of degree four, which can be expressed in the form f(x) = ax^4 + bx^3 + cx^2 + dx + e, where a ≠ 0.
5.
FLASHCARD QUESTION
Front
How do you perform polynomial long division?
Back
To perform polynomial long division, divide the leading term of the dividend by the leading term of the divisor, multiply the entire divisor by this result, subtract from the dividend, and repeat with the new polynomial until the degree of the remainder is less than the degree of the divisor.
Tags
CCSS.HSA.APR.D.6
6.
FLASHCARD QUESTION
Front
What is the Remainder Theorem?
Back
The Remainder Theorem states that when a polynomial f(x) is divided by (x - c), the remainder is f(c).
Tags
CCSS.HSA.APR.B.2
7.
FLASHCARD QUESTION
Front
What is the Factor Theorem?
Back
The Factor Theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.
Tags
CCSS.HSA.APR.B.2
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