Classify, Add & Subtract Polynomials

Front

What is a polynomial?

Back

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

Front

How do you classify a polynomial by its degree?

Back

The degree of a polynomial is determined by the highest power of the variable in the expression. For example, a polynomial with a highest power of 2 is called a quadratic.

Front

What is the difference between a monomial, binomial, and trinomial?

Back

A monomial has one term, a binomial has two terms, and a trinomial has three terms.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.

Front

What is a constant monomial?

Back

A constant monomial is a polynomial with only a constant term and no variable, such as 8.

Front

What is the perimeter of a triangle represented by the expression 5x + 4y + 3?

Back

The perimeter of the triangle is the sum of the lengths of all its sides, represented by the expression 5x + 4y + 3.

Front

How do you subtract polynomials?

Back

To subtract polynomials, change the sign of the polynomial being subtracted and then combine like terms.

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, which can be expressed in the form ax^2 + bx + c.

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree 3, which can be expressed in the form ax^3 + bx^2 + cx + d.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.