Word Problem Polynomial Practice

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 are the degrees of polynomials?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in the polynomial 3x^2 + 2x + 1, the degree is 2.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients. For example, (2x^2 + 3x) + (4x^2 + 5) = (2+4)x^2 + 3x + 5 = 6x^2 + 3x + 5.

Front

What is the process for subtracting polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms. For example, (5x^2 + 3) - (2x^2 + 1) = (5-2)x^2 + (3-1) = 3x^2 + 2.

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. For example, 4x^3 + 2x^2 + x + 5 is in standard form.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as 3x + 4 or x^2 - 5.

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms, such as x^2 + 3x + 2.

Front

How do you multiply polynomials?

Back

To multiply polynomials, use the distributive property (FOIL for binomials) to multiply each term in the first polynomial by each term in the second polynomial.

Front

What is the area of a rectangle in terms of polynomials?

Back

The area of a rectangle can be expressed as A = length * width, where both length and width can be polynomials.

Front

How do you factor a polynomial?

Back

To factor a polynomial, find the greatest common factor (GCF) and use techniques such as grouping, using special products, or applying the quadratic formula.