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Does a polynomial with a leading term with an even exponent must have at least one real zero?
No.
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.
A monomial is also a polynomial?
Yes, it can be considered a polynomial with one term.
What is the degree of a polynomial having more than 1 term but with different variables?
The degree of a polynomial is the highest exponent in the polynomial.
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.
How do you find the leading term of a polynomial?
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.
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.
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.
Does a polynomial with a leading term with an even exponent must have at least one real zero?
No.
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.
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.
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.
A monomial is also a polynomial?
Yes, it can be considered a polynomial with one term.
What is the degree of a polynomial having more than 1 term but with different variables?
The degree of a polynomial is the highest exponent in the polynomial.
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.
Can a polynomial term have zero?
Yes.
