How do you write a polynomial in standard form, then classify it by degree and number of terms $x - 6 x^{2}$ $x-6x^2$ ?

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How do you write a polynomial in standard form, then classify it by degree and number of terms $x - 6 x^{2}$ $x-6x^2$ ?

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Answer 1 · 2018-01-16T00:18:53

This is a quadratic binomial.

Explanation:

Given:

$x - 6 x^{2}$ $x-6x^2$

To write this in standard form, put the terms in descending order of powers of $x$ $x$ to get:

$- 6 x^{2} + x$ $-6x^2+x$

The term of highest degree is $2$ $2$ , so we call this a quadratic polynomial.

Here are the names of polynomials of the first few degrees:

$1$ $1$ - Linear

$2$ $2$ - Quadratic

$3$ $3$ - Cubic

$4$ $4$ - Quartic

$5$ $5$ - Quintic

$6$ $6$ - Sextic or Hextic

$7$ $7$ - Septic (!) or Heptic

$8$ $8$ - Octic

$9$ $9$ - Nonic

$10$ $10$ - Decic

The given polynomial consists of two terms, so it is called a binomial.

Here are the names given to expressions consisting of $n$ $n$ terms for the first few values of $n$ $n$ :

$1$ $1$ - Monomial

$2$ $2$ - Binomial

$3$ $3$ - Trinomial

$4$ $4$ - Quadrinomial

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How do you write a polynomial in standard form, then classify it by degree and number of terms $x - 6 x^{2}$ $x-6x^2$ ?

1 Answer

Explanation:

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How do you write a polynomial in standard form, then classify it by degree and number of terms x-6x^2x−6x2x-6x^2?

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How do you write a polynomial in standard form, then classify it by degree and number of terms $x - 6 x^{2}$ $x-6x^2$ ?