No. A polynomial can have as many degrees as you like.
To determine which linear expression is a factor of a given polynomial function, you typically need to perform polynomial division or use the Factor Theorem. If you can substitute a root of the polynomial into the linear expression and obtain a value of zero, then that linear expression is indeed a factor. Alternatively, if you have the polynomial's roots, any linear expression of the form ( (x - r) ), where ( r ) is a root, will be a factor. Please provide the specific polynomial function for a more accurate response.
It can: For example, the linear polynomial 2x + 4 can be factorised into 2 times (x+2) So the question is inappropriate.
A polynomial with a degree of one, of the form y = ax + b, where a and b are constants.
It is a linear expression.
No. A polynomial can have as many degrees as you like.
It will be a cubic polynomial.
Yes, it is a linear polynomial.
No, integer linear programming is NP-hard and cannot be solved in polynomial time.
Linear Form is a homogeneous polynomial of the first degree.
It can: For example, the linear polynomial 2x + 4 can be factorised into 2 times (x+2) So the question is inappropriate.
It is useful to know the linear factors of a polynomial because they give you the zeros of the polynomial. If (x-c) is one of the linear factors of a polynomial, then p(c)=0. Here the notation p(x) is used to denoted a polynomial function at p(c) means the value of that function when evaluated at c. Conversely, if d is a zero of the polynomial, then (x-d) is a factor.
A polynomial with a degree of one, of the form y = ax + b, where a and b are constants.
It is a linear expression.
linear monomial
If you know one linear factor, then divide the polynomial by that factor. The quotient will then be a polynomial whose order (or degree) is one fewer than that of the one that you stared with. The smaller order may make it easier to factorise.
An example of a polynomial with 3 terms is 3x3 + 4x + 20, because there are 3 different degrees of x in the polynomial.