Answer:
Explanation:
A polynomial is an expression of the form:
a_n x^n + a_{n-1} x^{n-1} + ... + a_2 x^2 + a_1 x + a_0
where a_n, a_{n-1}, ..., a_1, a_0 are constants, x is a variable, and n is a non-negative integer called the degree of the polynomial.
The degree of a polynomial is the highest power of x that appears in the polynomial. For example, the polynomial 3x^4 - 2x^2 + 5 has a degree of 4.
The number of terms in a polynomial is the number of individual expressions that are added or subtracted together to form the polynomial. For example, the polynomial 3x^4 - 2x^2 + 5 has three terms.
Polynomials can be classified by both degree and number of terms. Here are some examples:
Monomial: A polynomial with one term, such as 5x^3 or -2y.
Binomial: A polynomial with two terms, such as 4x^2 - 3x or 2a + b^2.
Trinomial: A polynomial with three terms, such as 2x^3 - 5x^2 + 3x or x^2 - 2xy + y^2.
Quadratic: A polynomial of degree 2, such as 3x^2 - 2x + 1 or ax^2 + bx + c.
Cubic: A polynomial of degree 3, such as 2x^3 - 3x^2 + x + 5 or px^3 + qx^2 + rx + s.
Quartic: A polynomial of degree 4, such as 4x^4 - 5x^3 + 2x^2 - x + 3 or a_4x^4 + a_3x^3 + a_2x^2 + a_1x + a_0.
And so on, for higher-degree polynomials.