Adding 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

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms from two or more polynomial expressions to form a single polynomial.

Tags

CCSS.HSA.APR.A.1

Front

What are like terms in polynomials?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Tags

CCSS.6.EE.A.2B

Front

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

Back

The simplified expression is 3x^3 + 5.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of -3(x - 4)?

Back

The result is -3x + 12.

Tags

CCSS.6.EE.A.3

Front

How do you combine the polynomials (2x + 5y - z) + (-6x - 4y + 7z)?

Back

The combined polynomial is -4x + y + 6z.

Tags

CCSS.HSA.APR.A.1

Front

What is the result of adding (4a + 6ab - b) + (-2a - ab + 3b)?

Back

The result is 2a + 5ab + 2b.

Tags

CCSS.HSA.APR.A.1

Front

What is the process of subtracting polynomials?

Back

Subtracting polynomials involves changing the signs of the terms in the polynomial being subtracted and then combining like terms.

Tags

CCSS.HSA.APR.A.1

Front

How do you simplify (4x^3 - 5x^2 + 3x) + (-2x^3 - x^2 + 6x)?

Back

The simplified expression is 2x^3 - 6x^2 + 9x.

Tags

CCSS.HSA.APR.A.1

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in 4x^2, 4 is the coefficient.

Tags

CCSS.6.EE.A.2B