No. A polynomial can have as many degrees as you like.
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.
Yes, -4x is a polynomial. A polynomial is an expression that consists of variables raised to non-negative integer powers, multiplied by coefficients. In this case, -4 is the coefficient and x is the variable raised to the first power, which meets the criteria for a polynomial. Thus, -4x is a linear polynomial.
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.