Add and Subtract Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 2x^2 + 3x - 5 is a polynomial.

Front

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms from two or more polynomial expressions. Like terms are terms that have the same variable raised to the same power.

Tags

CCSS.HSA.APR.A.1

Front

What are like terms?

Back

Like terms are terms in a polynomial that have the same variable raised to the same exponent. For example, 3x^2 and 5x^2 are like terms.

Tags

CCSS.6.EE.A.2B

Front

How do you subtract polynomials?

Back

To subtract polynomials, you 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 degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2 - x, the degree is 3.

Front

Simplify: (6x + 4x^4 - 3x^2) + (7x^4 + 5x^2 + 8x)

Back

11x^4 + 2x^2 + 14x.

Tags

CCSS.HSA.APR.A.1

Front

Solve: (9x + 17) + (19x - 27)

Back

28x - 10.

Tags

CCSS.7.EE.A.1

Front

Find the sum: (2x^2 + 5x - 7) + (3 - 4x^2 + 6x)

Back

-2x^2 + 11x - 4.

Tags

CCSS.HSA.APR.A.1

Front

Find the difference: (3 - 2x + 2x^2) - (4x - 5 + 3x^2)

Back

-x^2 - 6x + 8.

Tags

CCSS.HSA.APR.A.1

Front

Find the sum: (2x^2 + 5x - 7) + (-4x^2 + 6x + 3)

Back

-2x^2 + 11x - 4.

Tags

CCSS.HSA.APR.A.1