Anchor+A1.1.1.5

=A1.1.1.5 - Simplify expressions involving polynomials.= =Key Vocabulary:= =A1.1.1.5.1 Add, subtract, and/or multiply polynomial expressions (express answers in simplest form). Note: Nothing larger than a binomial multiplied by a trinomial.= A polynomial expression is shown below. (mx 3 + 3) (2x 2 + 5x + 2) – (8x 5 + 20x 4 ) The expression is simplified to 8x 3 + 6x 2 + 15x + 6. What is the value of m?  A. –8 B. –4 C. 4 D. 8 Answer: D

=A1.1.1.5.2 Factor Algebraic expressions, including difference of squares and trinomials. Note: Trinomials are limited to the form ax2 + bx + c where a is equal to 1 after factoring out all monomial factors.= When the expression x 2 – 3x – 18 is factored completely, which is one of its factors? A. (x – 2) B. (x – 3) C. (x – 6) D. (x – 9) Answer: C

=A1.1.1.5.3 Simplify/reduce a rational algebraic expression.= Simplify: x 2 – 3 x – 10 / x 2 + 6 x + 8 ; x ≠ –4, –2 A. -1 /2 x – 5/4 B. x 2 – 1 /2 x – 5 /4 C. x – 5 / x + 4 D. x + 5 / x–4 Answer: C

=Additional Resources:= PDESAS Algebra I Module 4 Khan Academy - Polynomials Khan Academy - Simplifying rational expression