Unit 4 Polynomials Extra 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 does it mean for a polynomial to be in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of their exponents.

Front

Identify the standard form of the polynomial: 3x^2 - 5 + 2x.

Back

2x + 3x^2 - 5.

Front

What is the degree of the polynomial 9x^3 + 8x^2 - 3x - 11?

Back

The degree is 3, which is the highest exponent of the variable.

Front

How do you add two polynomials?

Back

To add two polynomials, combine like terms by adding their coefficients.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power.

Front

Find the sum of the polynomials (2x^2 + 3x - 4) and (x^2 - 2x + 5).

Back

3x^2 + x + 1.

Front

What is the Greatest Common Factor (GCF) of a polynomial?

Back

The GCF of a polynomial is the largest polynomial that divides all terms of the polynomial without leaving a remainder.

Front

Find the GCF of the polynomial 12x^2 + 8x.

Back

The GCF is 4x.

Front

How do you factor a polynomial?

Back

To factor a polynomial, find the GCF of its terms and then express the polynomial as a product of the GCF and the remaining polynomial.