Pronunciation: /mɒnɪk pɒlɪˈnoʊmiəl/
noun a type of polynomial where the leading coefficient is equal to 1
A1 A monic polynomial is an algebraic expression with the highest power term having a coefficient of 1.
A2 In basic algebra, students learn how to factor monic polynomials.
B1 Solving monic polynomials requires understanding of algebraic techniques like factoring and synthetic division.
B2 Students in advanced math classes often encounter monic polynomials when studying higher level algebra.
C1 Mathematicians use monic polynomials to model real-world phenomena in fields like physics and engineering.
C2 The study of monic polynomials is a fundamental aspect of abstract algebra and mathematical analysis.
adjective describing the type of polynomial with a leading coefficient of 1
A1 A monic polynomial is a type of algebraic expression.
A2 In basic algebra, students learn about monic polynomials.
B1 Solving equations involving monic polynomials requires understanding of basic algebraic principles.
B2 Advanced algebra courses often cover techniques for factoring monic polynomials.
C1 Researchers in the field of mathematics study the properties of monic polynomials in depth.
C2 The professor's lecture on monic polynomials was highly detailed and informative.
formal The monic polynomial of degree n is a polynomial with leading coefficient 1.
informal A monic polynomial is just a polynomial where the first term is 1.
slang Dude, monic polynomials are like the cool kids of the polynomial world.
figurative Think of a monic polynomial as the captain of the polynomial team, leading the way with a coefficient of 1.
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