What is the 2 time trinomial? What does quadratic trinomiality mean

2 times 3 nomial means that the number of terms is 3, and the highest minor term is 2 times.

For example, the highest order in x 2 + 4 x + 5 is x 2

There are 3 terms, so it is a 2-time trinomial.

For example: 3x 2+2xy+3

The number of times the highest order term 3x xy is 2 times, and there are 3 terms in the formula, such a formula is 2 times 3 nomial.

There are three formulas, and the highest is two! For example: x 2 + x + 1, ab + a + b, etc!

The highest number of unknowns is 2 times.

A formula with only three terms in total is called a quadratic trinomial.

Please make the meaning of the title clear!

The power can be used"^"e.g. x 3 means x to the 3rd power.

a，2x^3-4x

is a 3-time trinomial;

b，-1/3x^23x

is 2 times trinomial; c，x^2

1 x is not an integer because -1 x is a fraction;

d，x1/x

2 is not an integer because -1 x is a fraction.

The 2-time trinomial is the formula with the highest number of 2 and the number of terms 3. 1 x is -1 times, and the answer is b

times"Refers to the index of the highest term.

item"Count it on your hands.

The highest index is two, and the number of terms is three.

Three unknowns, the highest order term is an equation of 2 degrees.

The highest index was 2 out of 3.

For example: -5x 2+x+1

x^2+5x+4

2x4x

No. 1/3x3x

No. x1 x is not. x1 x is not.

Such a simple question is also asked, is it not in the book.

First of all, the quadratic three-top formula is a polynomial, and the polynomial is composed of several monomials, each mononomial is called an item, and it is composed of several monomials called several mipreals;

The number of polynomials refers to the number of times of the highest order, that is, the number of each monomial is written, and the highest one is the number of polynomials. But this again involves the number of mononomials, which is the sum of the exponents of the letters.

For example: the polynomial xy-2x+3x 2 is composed of xy, -2x, 3x 2 three monomials, the first monomial has two letters, where the exponent of x is 1, the exponent of y is 1, and the sum of the sum is 2, that is, the number of xy is 2, then the number of the second term is 1, and the number of the third term is 2, among these three numbers, 2 is the largest, so the order of this polynomial is 2. So the polynomial xy-2x+3x 2 is called a quadratic trinomial.

A quadratic trinomial is a common quadratic polynomial. A quadratic trinomial is a polynomial in which the highest order of each monomial is 2 and has three terms. A polynomial of the shape ax bx c(a≠0) is called a quadratic trinomial of x.

The cross decomposition method can be used to factor quadratic trinomials (not necessarily in the range of integers). For an integer like ax +bx+c=(a1x+c1)(a2x+c2), the key to this method is to decompose the quadratic coefficient a into the product of the two factors a1 and a2, and the constant term c into the product of the two factors c1 and c2, so that a1c2+a2c1 is exactly equal to the coefficient b of the primary term. Then you can write it directly as a result:

ax²+bx+c=(a1x+c1)(a2x+c2)。

When using this method to decompose factors, it is important to observe, try, and realize that it is essentially the inverse process of binomial multiplication. When the first coefficient is not 1, it often takes several tests, and it is important to pay attention to the symbols of each coefficient. Basic formula:

x²+(p+q)x+pq=(x+p)(x+q)。

Three timesTrinomialThe three refers to the cubic and the three refers to the addition and subtraction of the three, which is the three. For example, x 3-2x 2-8x is a cubic triathlon.

Polynomial. The number of times is the number of times the highest monomial in a polynomial. Trinomials are one of the polynomials, so the method is the same. The number of trinomials is calculated by looking at the number of times of the highest order of the unknown.

Examples: x 5-2x 3+1 is a quintuple trinomial (the highest number of unknowns is 5 with 3 terms), and 2x 3-x 2+x is a cubic trinomial (the highest number of unknowns is 3 with 3 terms).

Trinomial Teaching Applications:

1. The "** method" can be used in the teaching of trinomial mathematics. The essence of the "** law" lies in taking students as the protagonists, so that they can change from passively accepting knowledge to exploring knowledge. Through hands-on, active thinking, lively discussions, and exploration of knowledge, students can better understand the connotation of knowledge, and cultivate observation and thinking skills.

Hands-on ability, inductive ability, language expression ability and creative ability, etc.

2. "** teaching method" refers to a comprehensive teaching method that under the guidance of the teacher, students find the rules of knowledge, summarize conclusions, learn new knowledge, and develop thinking and cultivate ability after specific operations and personal attempts.

By allowing students to understand the content of polynomials, students can be guided to actively think about the knowledge of trinomials. It expands students' thinking and improves students' independent thinking.

capacity.

The cubic trinomial formula is cubic and has three additions and subtractions.

x 3-3x 2-3x is a cubic trinomial, x 3 is the cube of x, and x 2 is the square of x.

In polynomials, each monomial is called the term of the polynomial, where the term without a letter is called the constant term. When determining the terms of a polynomial, pay special attention to the symbols of the terms. For example, there are three items in the polynomial x2-3x+2, which are x2, -3x, and 2.

The second term is "3x", which cannot be said to be "3x", and 2 is a constant term.

Several times a few nomials:

times" means multiplication, such as x is once, xy, x are squared twice, xyz, x are cubic trips, and so on ......"Term" means the addition, e.g. x is one, x+y, x+xy, x+x 2 are two terms, x+y+z, xy+xyz+x 3 are all three, ......and so on(x 3 is the cube of x, x 2 is the square of x).

Yuan" represents the number of unknown numbers, such as x and y are all unary, x+y, xy, and x y are all binary, x+y+z, xyz, xy+z are all ternary, ......and so onExample: x 5+xyz+xy+yz+a=0 is a ternary quintile pentanomial; "Ternary" is x, y, z, "five times" is the number of times the highest order term "x 5", and "five terms" are x 5, xyz, xy, yz, and a, where a is a constant term.

A cubic binomial means that the highest degree of this polynomial is cubic and consists of two mononomials. "Times" means multiplication, and "Term" means addition.

In polynomials, each monomial is called an term of the polynomial; The highest number of times of each term is called the number of times of the polynomial. A polynomial is a few terms, which is called a few terms. When calculating, it should be noted that the same number of times is the same except for the coefficient, and the coefficients are added together, and the number remains the same.

A cubic binomial means that the highest degree of this polynomial is cubic and consists of two mononomials.

Degree: The sum of the exponents of all variable denominators in a monomial is called the number of times of the monomial. There are two types of degrees: mononomial and polynomial. In a polynomial, the number of terms with the highest order is called the number of times of the polynomial.

Number of Items: The total number of items in the series is the "number of items" of the series. In a sequence, the number of terms is a positive integer. An infinite number of sequences has no terms.

Monomial: An algebraic formula consisting of the product of a number or letter is called a monomial, a single number or a letter is also called a monomial, and the product of fractions and letters is also a monomial. The numerical factor in a monomial is called the coefficient of the monomial, and the sum of the exponents of all the letters in a monomial is called the number of times of the monomial.

A monomial is a few times, so it's called a few monomials.

Polynomials: In mathematics, an algebraic formula consisting of the addition of several monomials is called a polynomial. Each monomial in a polynomial is called a polynomial term, and the highest number of terms in these monomials is the degree of the polynomial.

Terminology that does not contain letters in a polynomial is called a constant term.

The definition of a quadratic trinomial is:

A polynomial of the shape ax2 bx c(a≠0) is called a quadratic trinomial of x.

For example, if a quadratic trinomial with respect to a has a quadratic term coefficient of 2 and both the constant term and the primary term coefficients are -3, then this quadratic term is 2a2-3a-3

A cubic trinomial is a polynomial consisting of three monomials consisting of three polynomials with the highest order of each monomial contained in the equation.

A polynomial of the form ax3+bx2+cx(a≠0) is called a cubic trinomiature of x, and an equation of the form ax3+bx2+cx=0(a≠0) is called a cubic equation of x. Within the scope of secondary school learning, the cubic trinomial examines simplification problems such as factorization, and the unary cubic equation is basically not solved. Sometimes, when used as a function, its parity is judged. In high numbers, you will learn about the extremes, maximums, and root solutions of functions like this.

The definition of a quadratic trinomial is:

A polynomial of the shape ax2 bx c(a≠0) is called a quadratic trinomial of x.

For example, if a quadratic trinomial with respect to a is 2, and the coefficient of the quadratic term is 2, and the coefficient of the constant term and the coefficient of the primary term are both -3, then the quadratic term is 2a2-3a-3