Degrees & Standard Form Of Polynomials #2

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial.

Front

How do you determine the degree of a monomial?

Back

The degree of a monomial is the sum of the exponents of all the variables in the monomial.

Front

What is the degree of the polynomial 12 - 3x^3 - 10x - x^2?

Back

The degree is 3, as the highest power of x is 3.

Front

Put the polynomial -3x + 8x^2 - 11 + 9x^3 in standard form.

Back

9x^3 + 8x^2 - 3x - 11.

Front

What is the degree of the polynomial 2?

Back

The degree is 0, as it is a constant.

Front

What is the degree of the monomial 2x^2y^3z?

Back

The degree is 6, as the sum of the exponents (2 + 3 + 1) is 6.

Front

What does it mean for a polynomial to be in descending order?

Back

It means that the terms are arranged from the highest degree to the lowest degree.

Front

What is the leading coefficient of the polynomial 4x^3 - 2x^2 + 5?

Back

The leading coefficient is 4, which is the coefficient of the term with the highest degree.