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Honors Algebra 2 Unit 2 - Polynomials 2.7 – Test Review Name: ____________________________________ Date: _______________ Use the following to review for you test. Work the Practice Problems on a separate sheet of paper. What you need to know & be able to do Things to remember Write all answers in Standard Form - Highest Exp to Lowest Classify Polynomials Classify Polynomials based on Degree and # terms Adding and Subtracting Multiply Polynomials 1. List all the names for: Degree: 0 - _________________ 3 - _________________ name by degree: ______________ 4 - _________________ name by # terms: _____________ 4 - _________________ (3x 5. 4. 2 7 x) (14x (3x 2 )(2x 2 7. Find f(x) 9x g(x) 3 2 6) x 2 x) (1 x 2 ) (3x 2 6. (x y)(x 2 3 3)4 xy 8. Find g(x) f(x) 5 KNOW Pascal’s Triangle!! 4x 4 standard form: ________________ 3. Distribute every term Multiply numbers, add exponents 4x 2 x2 2 - _________________ Adding: Combine like terms Subtracting: Distribute the negative Combine like terms g x 2 constant: ______ 3 - _________________ 5x x 2 - _________________ Constant – Term without a variable 2x 2 f x leading coefficient: ______ Number of terms: 1 - _________________ f x 2. 1 - _________________ 9. (y Binomial Expansion Problem Leading Coeff – First coeff in standard form Given: Combing Functions Problem 10. (4z 5)3 2x y2) 5) Honors Algebra 2 Missing terms need “0” Synthetic Division Find value of divisor Use coefficients Multiply and Add Answer – go down 1 degree Dividing Polynomials Factoring Unit 2 - Polynomials 11. (x 4 3x 3 2.7 – Test Review 7x 14) (x 4 14. (8x 2x 2 15. (6x 4 22x 3 12x 1x 2 9) 12. (4x 2 4) (x 2 x 5x 1) (x 1) 3) 41x 17) (3x 5) Long Division What makes ___? Multiply Subtract Bring Down 16. 30x 5 12x 4 33x 3 24x 2 21x 18) (5x 2 2x 3)