I guess you should have studied.
The answer is quite easy, and if you'd bothered to read the textbook, you would have been able to answer this question.
Is also a number or polynomial.
6x+5b+3, see related link for a thorough explanation of what a polynomial is.
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 number and a variable multiplied together, separated by addition and subtraction, is called a polynomial. In a polynomial, the variables can have non-negative integer exponents, and the coefficients can be any real numbers. For example, (3x^2 + 4x - 5) is a polynomial.
A term only has variables and constants multiplied among themselves (or, in some cases, divided), such as 5xy, or -3x3. A polynomial is the sum of several such terms.
Is also a number or polynomial.
6x+5b+3, see related link for a thorough explanation of what a polynomial is.
You can find explanation and examples here: http://en.wikipedia.org/wiki/Polynomial_division
Briefly: A polynomial consists only of powers of the variables - ie the variables multiplied by themselves or one another. A non polynomial can include any other function such as trigonometric, exponential, logarithmic etc.
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 number and a variable multiplied together, separated by addition and subtraction, is called a polynomial. In a polynomial, the variables can have non-negative integer exponents, and the coefficients can be any real numbers. For example, (3x^2 + 4x - 5) is a polynomial.
Yes. Factoring a polynomial means to separate it into smaller factors, which, when multiplied together, give you the original polynomial.
An algebraic number is one that is a root to a non-zero polynomial, in one variable, whose coefficients are rational numbers.Equivalently, if the polynomial is multiplied by the LCM of the coefficients, the coefficients of the polynomial will all be integers.
A term only has variables and constants multiplied among themselves (or, in some cases, divided), such as 5xy, or -3x3. A polynomial is the sum of several such terms.
Conventionally, it is a numerical coefficient multiplied by the highest power of the variable in the polynomial.
The square root of a polynomial is another polynomial that, when multiplied by itself, yields the original polynomial. Not all polynomials have a square root that is also a polynomial; for example, the polynomial (x^2 + 1) does not have a polynomial square root in the real number system. However, some polynomials, like (x^2 - 4), have polynomial square roots, which in this case would be (x - 2) and (x + 2). Finding the square root of a polynomial can involve techniques such as factoring or using the quadratic formula for quadratic polynomials.
Yes, a polynomial of degree 0 is a constant term. In mathematical terms, a polynomial is defined as a sum of terms consisting of a variable raised to a non-negative integer power multiplied by coefficients. Since a degree 0 polynomial has no variable component, it is simply a constant value.