Determine which operations are closed for polynomials

Determine which operations are closed for polynomials

In this lesson you will learn what operations are closed for polynomials by applying the definition of a polynomial to each operation.

ADDITIONAL MATERIALS

STANDARDS

CCSS.HSA-APR.A.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

TEKS.A2.7.B add, subtract, and multiply polynomials;

TEKS.A1.10.A add and subtract polynomials of degree one and degree two;

TEKS.A1.10.B multiply polynomials of degree one and degree two;

TEKS.A1.10.D rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property;

TEKS.A1.11.B simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.

IN.AI.RNE.7 Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials.

VA.EO.A.2.a applying the laws of exponents to perform operations on expressions;

VA.EO.A.2.b adding, subtracting, multiplying, and dividing polynomials; and

VA.PFA.8.14.b simplify algebraic expressions in one variable.

FL.MAFS.912.A-APR.1.1 Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.