2. Algebra I Concept Test # 14 – Polynomial Practice Test 1.Given the following polynomial: 7x ─ 2x 2 a)Place in standard form. b)Identify the degree. − 2x 2 + 7x 2 c)Name the polynomial based on degree. Quadratic d)Identify the type based on the number of terms. Binomial NOTE: Exponents descend from left to right when in standard form. © 2007- 09 by S-Squared, Inc. All Rights Reserved.

3. 2.Simplify: (Place answer in standard form) (8x 3 – 3 + 5x – x 2 ) + (− 9x + x 2 ─ 2x 3 ─ 11) 6x 3 + 0x 2 ─ 4x – 14 NOTE: Like terms have the same variable bases raised to the same power. Simplify and place in standard form. 6x 3 – 4x ─ 14 Algebra I Concept Test # 14 – Polynomial Practice Test

4. 3.Simplify: (Place answer in standard form) (− 12 + b ─ 7b 2 ) ─ (b 2 ─ 15 ─ 6b) − 8b 2 + 7b + 3 − 8b 2 + 7b + 3 NOTE: The subtraction must be distributed to each term. Place in standard form. Algebra I Concept Test # 14 – Polynomial Practice Test

5. 4.Simplify: (Place answer in standard form) 6y (4y ─ 8 + 9y 2 ) 24y 2 ─ 48y+ 54y 3 54y 3 + 24y 2 ─ 48y NOTE: Multiply each term by 6y. Place in standard form. Algebra I Concept Test # 14 – Polynomial Practice Test

6. 5.Simplify: (Place answer in standard form) − 7x 2 (3x 2 ─ 1 + 2x ) − 21x 4 + 7x 2 ─ 14x 3 − 21x 4 ─ 14x 3 + 7x 2 NOTE: Multiply each term by − 7x 2 Place in standard form. Algebra I Concept Test # 14 – Polynomial Practice Test

7. ( ) m 7 m + 4 – 4m+ m 2 – 28 –7m Combine 6.Simplify: (Place answer in standard form) m 2 + 3m – 28 NOTE:To multiply a binomial by a binomial, we distribute each term in the first binomial with the second. Algebra I Concept Test # 14 – Polynomial Practice Test

8. ( ) − 7a 5 3a – 3 + 9a+ −21a 2 + 15 –35a Combine 7.Simplify: (Place answer in standard form) − 21a 2 + 44a – 15 NOTE:To multiply a binomial by a binomial, we distribute each term in the first binomial with the second. Algebra I Concept Test # 14 – Polynomial Practice Test

9. ( ) y 9 y– 9 + 9y – y 2 + 81 –9y Combine 8.Simplify: (Place answer in standard form) y 2 – 81 NOTE:To multiply a binomial by a binomial, we distribute each term in the first binomial with the second. Algebra I Concept Test # 14 – Polynomial Practice Test

10. ( ) 2x 3 + 3 + 6x+ 4x 2 + 9 +6x Combine 9.Simplify: (Place answer in standard form) 4x 2 + 12x + 9 NOTE: To square a binomial, you must multiply it by itself. (2x + 3) 2 Algebra I Concept Test # 14 – Polynomial Practice Test

11. 10.Solve using the zero product property: NOTE: To apply the zero product property, set each factor equal to zero and solve. (p – 1)(p + 8) = 0 p – 1 = 0 and p + 8 = 0 + 1 Add p = 1 – 8 Subtract p = − 8 and Algebra I Concept Test # 14 – Polynomial Practice Test

12. 11.Solve using the zero product property: NOTE: To apply the zero product property, set each factor equal to zero and solve. s(s – 7)(2s + 6) = 0 s = 0 s – 7 = 0 and 2s + 6 = 0 + 7 Add s = 7 – 6 Subtract s = − 3 2s = − 6 Divide 2 2 Keep Going Until The Work Is Done Algebra I Concept Test # 14 – Polynomial Practice Test