Algebra+and+Number+5

5. Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially and symbolically. [C, CN, R, V]

5.1 Determine the common factors in the terms of a polynomial, and express the polynomial in factored form.

5.2 Model the factoring of a trinomial, concretely or pictorially, and record the process symbolically.

5.3 Factor a polynomial that is a difference of squares, and explain why it is a special case of trinomial factoring where b =0.

5.4 Identify and explain errors in a polynomial factorization.

5.5 Factor a polynomial, and verify by multiplying the factors.

5.6 Explain, using examples, the relationship between multiplication and factoring of polynomials.

5.7 Generalize and explain strategies used to factor a trinomial.

5.8 Express a polynomial as a product of its factors.