8x3 + 12x2 - 44x - 24
= 4(2x3 + 3x2 - 11x - 6)
= 4(2x3 - 4x2 + 7x2 - 14x + 3x - 6)
= 4[2x2(x - 2) + 7x(x - 2) + 3(x - 2)]
= 4(x - 2)(2x2 + 7x + 3)
= 4(x - 2)(2x2 + 6x + x + 3)
= 4(x - 2)[2x(x + 3) + 1(x + 3)]
= 4(x - 2)(x + 3)(2x + 1)
this term 2x is not a polynomial. this term is a monomial. since only one term was listed it can not be a polynomial. A polynomial is like four or more terms. a trinomial is three terms and a binomial is two terms.
To factor a polynomial expression, you identify common factors among the terms and express the polynomial as a product of simpler polynomials. For example, consider the polynomial ( x^2 - 5x + 6 ); it factors into ( (x - 2)(x - 3) ). Each factor is written in descending order, starting with the highest degree term. The specific steps to factor will depend on the polynomial you are working with.
2x is just 2x and it is not a polynomial. This is a monomial because it just has one term. a polynomial is four or more terms.
The distributive property allows us to simplify expressions by distributing a term across a sum or difference. When factoring a polynomial, we can reverse this process by identifying common factors in each term of the polynomial. For example, in the expression ( ax + ay ), we can factor out ( a ) to get ( a(x + y) ). This reveals the common factor and simplifies the polynomial into a product of its factors.
The term in a polynomial without a variable is called a "constant term." It represents a fixed value and does not change with the variable(s) in the polynomial. For example, in the polynomial (2x^2 + 3x + 5), the constant term is 5.
coefficient
this term 2x is not a polynomial. this term is a monomial. since only one term was listed it can not be a polynomial. A polynomial is like four or more terms. a trinomial is three terms and a binomial is two terms.
Anywhere. Provided it is not zero, and number p can be the leading coefficient of a polynomial. And any number q can be the constant term.
TRue
the numerical factor in a term of polynomial
To factor a polynomial expression, you identify common factors among the terms and express the polynomial as a product of simpler polynomials. For example, consider the polynomial ( x^2 - 5x + 6 ); it factors into ( (x - 2)(x - 3) ). Each factor is written in descending order, starting with the highest degree term. The specific steps to factor will depend on the polynomial you are working with.
2x is just 2x and it is not a polynomial. This is a monomial because it just has one term. a polynomial is four or more terms.
The distributive property allows us to simplify expressions by distributing a term across a sum or difference. When factoring a polynomial, we can reverse this process by identifying common factors in each term of the polynomial. For example, in the expression ( ax + ay ), we can factor out ( a ) to get ( a(x + y) ). This reveals the common factor and simplifies the polynomial into a product of its factors.
The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.7x2y2 + 4x2 + 5y + 13 is a polynomial with four terms. The first term has a degree of 4, the second term has a degree of 2, the third term has a degree of 1 and the fourth term has a degree of 0. The polynomial has a degree of 4.
A [single] term cannot be polynomial.
The term in a polynomial without a variable is called a "constant term." It represents a fixed value and does not change with the variable(s) in the polynomial. For example, in the polynomial (2x^2 + 3x + 5), the constant term is 5.
To write each factor as a polynomial in descending order, first identify the terms of the polynomial and arrange them based on the degree of each term, starting with the highest degree. For example, if you have factors like (x^2 + 3x - 5) and (2x - 1), you would express each factor individually, ensuring that the term with the highest exponent comes first. Finally, combine all terms, maintaining the descending order for clarity and consistency.