Common Core · High school
HSA-APR.A.1
High school — Understand that polynomials are closed under addition, subtraction and multiplication (multiplying the factors back).
High school — Understand that polynomials form a system closed under addition, subtraction and multiplication; add, subtract and multiply polynomials.
The 2 skills that cover it
- FactoringRewrite a polynomial as a product: pull out the greatest common factor, factor trinomials, and recognise the difference of squares.Read the lesson →
- PolynomialsName a polynomial by its degree and number of terms, add and subtract polynomials, multiply a monomial or a binomial through, and recognise the special products.Read the lesson →
What a student should be able to do
- Factor out the greatest common factor of a polynomial.
- Factor a trinomial of the form x2 + bx + c.
- Recognise and factor a difference of two squares.
- Multiply the factors back to check the result.
- Write a polynomial in standard form and state its degree and its number of terms.
- Add and subtract polynomials by combining like terms.
- Multiply a monomial by a polynomial and a binomial by a binomial.
- Expand the special products (a + b)2, (a - b)2 and (a + b)(a - b).