What is a polynomial function?
Writing Polynomial Equations

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A polynomial function is a mathematical expression that involves 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, a_(n-1), ..., a_0 are constants and 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 the polynomial f(x) = 4x^3 + 3x^2 + 2, the degree is 3.
3.
FLASHCARD QUESTION
Front
What is a monomial?
Back
A monomial is a polynomial with only one term. It can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers. For example, 5x^2 is a monomial.
4.
FLASHCARD QUESTION
Front
What is a binomial?
Back
A binomial is a polynomial with exactly two terms. For example, 3x + 4 is a binomial.
5.
FLASHCARD QUESTION
Front
What is a trinomial?
Back
A trinomial is a polynomial with exactly three terms. For example, x^2 + 3x + 2 is a trinomial.
6.
FLASHCARD QUESTION
Front
What is the standard form of a polynomial?
Back
The standard form of a polynomial is when it is written in descending order of the degree of its terms. For example, 2x^3 + 3x^2 + x + 5 is in standard form.
7.
FLASHCARD QUESTION
Front
What are the roots of a polynomial?
Back
The roots of a polynomial are the values of x that make the polynomial equal to zero. They can be found by factoring the polynomial or using the quadratic formula for quadratic polynomials.
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