Polynomial Operations Recap

Front

What is the distributive property in polynomial operations?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Tags

CCSS.6.EE.A.3

Front

How do you simplify the expression (x + 3)(2x - 4)(-x + 1)?

Back

To simplify, apply the distributive property step by step, combining like terms to arrive at -2x^3 + 14x - 12.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of combining like terms in the expression (7p + 4p^3 - 8) - (-3p^2 + 2 - 9p)?

Back

The result is 4p^3 + 3p^2 + 16p - 10.

Tags

CCSS.HSA.APR.A.1

Front

What does it mean to combine like terms in polynomial expressions?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1

Front

How do you simplify the expression (4x - 2x^3) + (5x^3 - 4x + 5)?

Back

Combine like terms to get 3x^3 + 5.

Tags

CCSS.HSA.APR.A.1

Front

What is the process for adding two polynomial expressions?

Back

To add two polynomial expressions, align like terms and combine their coefficients.

Tags

CCSS.HSA.APR.A.1

Front

What is the simplified form of (7x^2 - 3x) + (5x^2 + x + 3)?

Back

The simplified form is 12x^2 - 2x + 3.

Tags

CCSS.HSA.APR.A.1

Front

How do you simplify the expression (3x^2 - 4x + 2) + (2x^2 + 5x - 1)?

Back

Combine like terms to get 5x^2 + x + 1.

Tags

CCSS.HSA.APR.A.1

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and 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 expression.