Add, Subtract, & Multiply Polynomials

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 degree of a polynomial?

Back

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

Front

How do you add polynomials?

Back

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

Tags

CCSS.HSA.APR.A.1

Front

How do you subtract polynomials?

Back

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

Tags

CCSS.HSA.APR.A.1

Front

What is the product of (a + b)(a - b)?

Back

The product is a² - b², known as the difference of squares.

Tags

CCSS.HSA.APR.C.4

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a polynomial.

Tags

CCSS.6.EE.A.3

Front

What is the result of multiplying (x + 1)(x + 2)?

Back

The result is x² + 3x + 2.

Tags

CCSS.HSA.APR.A.1

Front

What is the formula for squaring a binomial (a + b)²?

Back

The formula is (a + b)² = a² + 2ab + b².

Tags

CCSS.HSA.APR.C.4

Front

What is the result of (2x + 3)(2x + 3)?

Back

The result is 4x² + 12x + 9.

Tags

CCSS.HSA.APR.A.1

Front

What is a like term?

Back

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

Tags

CCSS.6.EE.A.2B