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 first term of a polynomial is the term with the highest degree, typically written in standard form. For example, in the polynomial (3x^4 + 2x^3 - x + 5), the first term is (3x^4). If a polynomial has multiple terms, the first term is determined by the term with the largest exponent of the variable. If the polynomial is expressed in descending order, the first term is simply the first term listed.
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.
the numerical factor in a term of polynomial
TRue
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 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.
True Yes. Although the term 'quad' stands for four, a quadratic equation is a polynomial of second degree.
The first term of a polynomial is the term with the highest degree, typically written in standard form. For example, in the polynomial (3x^4 + 2x^3 - x + 5), the first term is (3x^4). If a polynomial has multiple terms, the first term is determined by the term with the largest exponent of the variable. If the polynomial is expressed in descending order, the first term is simply the first term listed.
Yes, it can be considered a polynomial with one term.
True. A polynomial of degree zero is defined as a polynomial where the highest degree term has a degree of zero. This means that the polynomial is a constant term, as it does not contain any variables raised to a power greater than zero. Therefore, a polynomial of degree zero is indeed a constant term.