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.
3x² - 4x + 9 is a polynomial of degree 2.
Yes. -4x is one, and 3y is one. They are combined with a "+" sign, and together they are a polynomial.
See definition of polynomial and monomials. You will see.
4x(4x^2 + 3x + 1)
It is of the 2nd degree.
3x² - 4x + 9 is a polynomial of degree 2.
Yes. -4x is one, and 3y is one. They are combined with a "+" sign, and together they are a polynomial.
The degree of this polynomial is 2.
See definition of polynomial and monomials. You will see.
16x2 - 25 = (4x + 5) (4x - 5)
I'm going to assume the polynomial in question is 2x7+(3-2x3)+(5x8-4x) Expanding out the polynomial: 2x7+3-2x3+5x8-4x Order the terms by powers of x: 5x8+2x7-2x3-4x+3 Since 8 is the highest power of x, the degree of the polynomial is 8.
4x(4x^2 + 3x + 1)
An example of a polynomial with 3 terms is 3x3 + 4x + 20, because there are 3 different degrees of x in the polynomial.
It is of the 2nd degree.
The largest exponent in a polynomial is referred to as the polynomial's degree. It indicates the highest power of the variable in the expression. For example, in the polynomial (4x^3 + 2x^2 - x + 5), the degree is 3, as the term (4x^3) has the highest exponent. The degree of a polynomial provides insight into its behavior and the number of possible roots.
To find the degree of the polynomial (x^6 + 3 - 2x^2 + 4x^7 - 4x), we look for the term with the highest power of (x). The terms are (x^6), (-2x^2), (4x^7), and (-4x). The term (4x^7) has the highest degree, which is 7. Therefore, the degree of the polynomial is 7.
A polynomial that lists the powers in descending order is called a "standard form" polynomial. For example, the polynomial ( 4x^3 - 2x^2 + 7x - 5 ) is in standard form because the terms are arranged from the highest degree ( (4x^3) ) to the lowest degree ( (-5) ). This format makes it easier to analyze and perform operations with the polynomial.