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If the polynomial is in terms of the variable x, then look for the term with the biggest power (the suffix after the x) of x. That term is the leading term.
So the leading term of x2 + 5 + 4x + 3x6 + 2x3 is 3x6
If you are likely to do any further work with the polynomial, it would be a good idea to arrange it in order of the descending powers of x anyway.
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The rational roots of a polynomial function F(x) can be written in the form where p is a factor of the constant term of the polynomial and q is a factor of the leading coefficient.?
TRue
Can a polynomial term have zero?
Yes.
Degree of a terms of polynomial?
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.For example, the polynomial 8x2y3 + 5x - 10 has three terms. The first term has a degree of 5, the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial is degree five.
What is the degree of this term 4xy?
It is a polynomial of degree one in x, and also a polynomial of degree one in y.
How do you multiply monomial by a polynomial?
you foil it out.... for example take the first number or variable of the monomial and multiply it by everything in the polynomial...
Where p is a factor of the leading coefficient of the polynomial and q is a factor of the constant term.?
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.
Does a polynomial with a leading term with an even exponent must have at least one real zero?
No.
What is the number in front of the term with the highest degree in a polynomial?
It is the Coefficient. It only refers to the given term that it is front. e.g. 2x^2 - 3x + 1 The '2' in front of 'x^2' only refers to 'x^2'. The '-3' in front of 'x' is the coefficient of '-3' The '1' is a constant.
The rational roots of a polynomial function F(x) can be written in the form where p is a factor of the constant term of the polynomial and q is a factor of the leading coefficient.?
TRue
How can you know that a term is polynomial?
A [single] term cannot be polynomial.
How can you find a degree in a polynomial?
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.
What is the leading coefficient in a polynomial?
It is the number (coefficient) that belongs to the variable of the highest degree in a polynomial.
If you find that a term is missing from a long division polynomial problem you should write that term with a coefficient of?
Zero.
What is the polynomial of 2 x?
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.
If you find that a term is missing from a long division polynomial problem how should you write the problem?
zero
A monomial is also a polynomial?
Yes, it can be considered a polynomial with one term.
Why do all polynomials have graphs that look like the graphs of their leading terms?
Polynomials have graphs that look like graphs of their leading terms because all other changes to polynomial functions only cause transformations of the leading term's graph.
