How to Use polynomial in a Sentence

polynomial

1 of 2 noun
Definition of polynomialnext
  • The reason for this has to do with the new proof about polynomials.
    — Quanta Magazine, 17 Dec. 2018
  • And what could make a polynomial biased in the first place?
    — Quanta Magazine, 9 Nov. 2021
  • In math, sometimes a polynomial, like x2 + y2, works the same way.
    — Quanta Magazine, 9 Nov. 2021
  • These kinds of polynomials can sometimes be expressed as sums of squares, too.
    — Kevin Hartnett, WIRED, 26 May 2018
  • This is just one example of what’s called a quadratic polynomial, in which the variable is raised to the second power.
    — Quanta Magazine, 22 Feb. 2021
  • But x³ − 2 is a degree-three polynomial, so () is not constructible.
    — Quanta Magazine, 14 Sep. 2020
  • The man addressed me over the cliff of his shoulder—talked down to me in the same condescending way Mister Hughes explained polynomials and hypotenuses.
    — Douglas Stuart, The New Yorker, 6 Jan. 2020
  • In the graph of a cubic polynomial like x3 + 1, one end always goes off to negative infinity.
    — Quanta Magazine, 1 Nov. 2021
  • To pull the phosphine signal out of a messy data set, the team subtracted the background noise using a high-order polynomial, which means more variables were used to model the data than is typical.
    — Nadia Drake, National Geographic, 23 Oct. 2020
  • In the McAllen school district, an eighth-grade math teacher, Sandra Guerra, recently chatted online with six students who were stuck on a problem about polynomials.
    — Cecilia Kang, New York Times, 22 Feb. 2016
  • But in the coming weeks, teachers hope to ease students back into the business of learning: graphing polynomials, dissecting Shakespeare, learning the countries of Southeast Asia.
    — The Washington Post, cleveland.com, 27 Feb. 2018
  • But this polynomial conveys a lot of information about our problem.
    — Quanta Magazine, 13 Aug. 2019
  • Scholze set himself the task of sorting out why this infinite wraparound construction makes so many problems about p-adic numbers and polynomials easier.
    — Quanta Magazine, 28 June 2016
  • Quadratic equations are polynomials, meaning strings of math terms.
    — Caroline Delbert, Popular Mechanics, 6 Dec. 2019
  • But there are fast algorithms for factoring large polynomials.
    — Quanta Magazine, 17 Dec. 2018
  • Consequently, these three rearrangements are considered to be the symmetries of the polynomial.
    — Quanta Magazine, 3 Aug. 2021
  • If that additional point fits your polynomial, then the information is correct.
    — Patrick Honner, Quanta Magazine, 23 Jan. 2023
  • The search for a cubic polynomial with integer coefficients that has three non-real roots will teach you about the importance of complex conjugates — pairs of complex numbers whose product and sum are always real.
    — Quanta Magazine, 18 Nov. 2020
  • The mathematical expression that gives the answer is called a chromatic polynomial.
    — New York Times, 5 July 2022
  • For example, these conditions violate the rational root theorem, which says that any rational roots of a polynomial must be a ratio of a factor of the constant term divided by a factor of the leading coefficient.
    — Quanta Magazine, 18 Nov. 2020
  • Notice that, as with any polynomial, as x goes to positive or negative infinity — farther to the right or the left, respectively — the function either blows up to infinity or plunges to negative infinity.
    — Quanta Magazine, 1 June 2022
  • The polynomial’s coefficients serve as the coordinates that define where the polynomial is located.
    — Quanta Magazine, 26 Sep. 2019
  • There are different ways to establish the impossibility of this polynomial.
    — Quanta Magazine, 18 Nov. 2020
  • For example, x²-6 is a polynomial with integer coefficients, since 1 and -6 are integers.
    — Dave Linkletter, Popular Mechanics, 22 July 2022
  • Akili learned about polynomials, for example, during a Summer Institute.
    — Sonali Kohli, Los Angeles Times, 15 Aug. 2019
  • This approximation is called the Taylor polynomial, and provides a simpler model of many complicated real world situations.
    — Eugenia Cheng, WSJ, 21 Apr. 2022
  • Similarly, that team reported that high-order polynomial fitting could create multiple spurious spectral lines.
    — Nadia Drake, National Geographic, 23 Oct. 2020
  • Those mind-numbing exercises in high school—factoring polynomials, conjugating verbs, memorizing the periodic table—were possibly the opposite: mind-sensitizing.
    — Siddhartha Mukherjee, The New Yorker, 23 Mar. 2017
  • The reason for this has to do with the new proof about polynomials.
    — Quanta Magazine, 17 Dec. 2018
  • And what could make a polynomial biased in the first place?
    — Quanta Magazine, 9 Nov. 2021
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polynomial

2 of 2 adjective
  • Now make a polynomial that takes points on the grid as inputs.
    — Kevin Hartnett, WIRED, 26 May 2018
  • On the other hand, the polynomial xy + zw can’t be broken down this way.
    — Quanta Magazine, 9 Nov. 2021
  • The first subset is called PLS (polynomial local search).
    — Quanta Magazine, 17 Aug. 2021
  • Mathematicians want to know how the roots of a polynomial relate to each other.
    — Quanta Magazine, 14 May 2020
  • Picture the graph of a polynomial function as a curve floating above the horizontal axis.
    — Quanta Magazine, 1 Nov. 2021
  • If someone comes up with an algorithm that can unknot any knot in what’s called polynomial time, that will put the Unknotting Problem fully to rest.
    — Dave Linkletter, Popular Mechanics, 22 July 2022
  • Over the next millennium, algebra evolved from the study of the nature of solutions to polynomial equations to the study of abstract number systems.
    — Emily Riehl, Scientific American, 17 Sep. 2021
  • In fact it’s an NP-hard problem, where NP stands for non-deterministic polynomial time.
    — Calum Chace, Forbes, 27 May 2021
  • For each window size, the whole polynomial order space from one to window size -1 was investigated.
    — Neuroskeptic, Discover Magazine, 26 Aug. 2018
  • For example, the polynomial x2 + xy can be rewritten as the product of two simpler polynomials: x(x + y).
    — Quanta Magazine, 9 Nov. 2021
  • The trick, however, is that an SG filter is defined by two parameters: window length and polynomial order.
    — Neuroskeptic, Discover Magazine, 26 Aug. 2018
  • In particular, mathematicians often study the roots of these expressions, the values of x that make the polynomial equal zero.
    — Quanta Magazine, 25 May 2021
  • That’s the study of geometric objects defined by solutions to polynomial equations.
    — Stephen Ornes, Discover Magazine, 14 Jan. 2019
  • One approach to replicate human consciousness into an AGI model would be to treat the brain as a quantum computer to solve problems in polynomial time with brute computing power alone.
    — Naveen Joshi, Forbes, 25 Mar. 2022
  • These maps, Jain said, entail something akin to a polynomial calculating machine connected to a system of secret lockers containing the values of the variables.
    — Quanta Magazine, 10 Nov. 2020
  • To understand polynomials, mathematicians study their roots, the values of x that make the polynomial equal zero.
    — Quanta Magazine, 21 Apr. 2022
  • Shor proposed a polynomial-time quantum algorithm to solve this factoring problem.
    — Francis Sideco, Forbes, 25 Jan. 2023
  • Galois groups provide a powerful perspective from which to study polynomial equations.
    — Quanta Magazine, 3 Aug. 2021
  • In other cases, modular arithmetic can rule out the possibility that a polynomial equation has any whole-number solutions.
    — Quanta Magazine, 14 Sep. 2021
  • Instead He and Côté used a technique called polynomial regression, which represents a more complex statistical model that preserves the original variables.
    — Lydia Denworth, Scientific American, 27 Aug. 2019
  • Scenarios like these can often be distilled into polynomial equations.
    — Kevin Hartnett, WIRED, 26 May 2018
  • Using a technique called polynomial fitting, the original discovery team looked for phosphine’s spectral line by mathematically removing background noise around the region in the spectrum where phosphine should be.
    — Nadia Drake, National Geographic, 23 Oct. 2020
  • Hewlett-Packard used a brilliant digital imaging technique called polynomial texture mapping for enhancing surface details.
    — Tony Freeth, Scientific American, 15 Dec. 2021
  • Specifically, critics said there was no evidence supporting the authors’ claims of Schnorr’s algorithm achieving polynomial time, as opposed to the exponential time achieved with classical algorithms.
    — Dan Goodin, Ars Technica, 26 Jan. 2023
  • Curiously, Corwin notes that for polynomial equations (or systems of such equations) in multiple variables, no one knows whether an algorithm can be found for determining whether rational solutions exist.
    — Rachel Crowell, Scientific American, 14 Oct. 2021
  • That problem focused on finding an algorithm for determining whether, for some system of polynomial equations with integer coefficients, there exists a solution in the integers, Kedlaya notes.
    — Rachel Crowell, Scientific American, 14 Oct. 2021
  • Mathematicians believe that this is unsolvable by polynomial-time algorithms in Turing’s framework.
    — Jie Wang, Fortune, 30 Jan. 2023
  • The exhibit features a wealth of previously unpublished work: printouts of experiments on polynomial equations, found images such as magazine ads and photographs that reminded Mandelbrot of fractals as well as drawings from other mathematicians.
    — Marissa Fessenden, Scientific American, 21 Dec. 2012
  • Instead of asking about integer solutions to polynomial equations, the André-Oort conjecture is about solutions involving far more complicated geometric objects called Shimura varieties.
    — Quanta Magazine, 3 Feb. 2022
  • This dilemma translates into a polynomial optimization problem.
    — Quanta Magazine, 1 Nov. 2021

Some of these examples are programmatically compiled from various online sources to illustrate current usage of the word 'polynomial.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

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