A polynomial with a degree of one, of the form y = ax + b, where a and b are constants.
It can: For example, the linear polynomial 2x + 4 can be factorised into 2 times (x+2) So the question is inappropriate.
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.
A linear equation is one which represents a straight line. When drawn (y plotted against x), a degree 1 polynomial produces a straight line.
A polynomial is a linear combination of non-negative integer powers of a variable. A linear combination means you can multiply the terms by constant numbers before summing them. The terms can consists of only positive integer powers of the variable or a constant.
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.
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.
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, if it is of degree 4, it can have 4 linear factors, regardless of the number of terms.For example, x squared + 5x + 6 = (x+3)(x+2). The unfactored polynomial has three terms, and is of degree 2. Similarly, you can multiply four linear terms together; and you will get a polynomial of degree 4, which has up to 5 terms.
A linear equation is one which represents a straight line. When drawn (y plotted against x), a degree 1 polynomial produces a straight line.