Post on 16-Feb-2020
Identify each polynomial below as a MONOMIAL, BINOMIAL, TRINOMIAL or OTHER.
___________________ 1. 3x3 + 8x
2 –x
___________________ 2. a2b
3(x + y) + 3ab(x + y)
___________________ 3. 7ab2cd
8efg
Write the degree of each polynomial in the blank.
______ 4. 3a – 4 a2 – 3a
3
______ 5. x2y
3 + 3xy
______ 6. 7ab2cd
8efg
9-13. Multiply the polynomials in each problem.
________________________ 9. 4x7(3x
2 – x – 7)
________________________ 10. (7y + 1)(3y – 1)
________________________ 11. (2x2 + 3)( 2x
2 – 3) Recall: these are CONJUGATES & the product will be a difference of perfect squares.
________________________ 12. (7a + 2)(7a + 2) Recall: this will result in a PST – a Perfect Square Trinomial.
___________________________________13. (2a + 3)(a2 – 8a – 3)
___________________________________14. Expand: (x + y)3
Careful! Some students confuse “cubing a binomial” with “factoring the sum of cubes”
___________________________________15. Factor: x3 + y
3
___________________________________16. Expand: (2a + 3)4
Algebra 2 w/ Trig
Semester Exam
Review 9 Polynomials
NAME ___________________________
Date :
Hint: the DEGREE of any one term is the sum of the exponents on the variables
The DEGREE of an entire polynomial is the highest degree found in any of the terms.
Hint: terms are separated only by + or – signs. A product or quotient is a single term.
Hints: may always use DISTRIBUTIVE PROPERTY repeatedly. (FOIL is a special case of Dist. Prop.)
Hint: use Binomial Theorem and Pascal’s Triangle if you are raising a binomial to a power.
Identify each polynomial below as a MONOMIAL, BINOMIAL, TRINOMIAL or OTHER.
___________________ 1. 3x3 + 8x
2 –x
___________________ 2. a2b
3(x + y) + 3ab(x + y)
___________________ 3. 7ab2cd
8efg
Write the degree of each polynomial in the blank.
______ 4. 3a – 4 a2 – 3a
3
______ 5. x2y
3 + 3xy
______ 6. 7ab2cd
8efg
9-13. Multiply the polynomials in each problem.
________________________ 9. 4x7(3x
2 – x – 7)
________________________ 10. (7y + 1)(3y – 1)
________________________ 11. (2x2 + 3)( 2x
2 – 3) Recall: these are CONJUGATES & the product will be a difference of perfect squares.
________________________ 12. (7a + 2)(7a + 2) Recall: this will result in a PST – a Perfect Square Trinomial.
___________________________________13. (2a + 3)(a2 – 8a – 3)
___________________________________14. Expand: (x + y)3
Careful! Some students confuse “cubing a binomial” with “factoring the sum of cubes”
___________________________________15. Factor: x3 + y
3
___________________________________16. Expand: (2a + 3)4
Algebra 2 w/ Trig
Semester Exam
Review 9 Polynomials
SOLUTION KEY
Date :
Hint: the DEGREE of any one term is the sum of the exponents on the variables
The DEGREE of an entire polynomial is the highest degree found in any of the terms.
Hint: terms are separated only by + or – signs. A product or quotient is a single term.
Hints: may always use DISTRIBUTIVE PROPERTY repeatedly. (FOIL is a special case of Dist. Prop.)
Hint: use Binomial Theorem and Pascal’s Triangle if you are raising a binomial to a power.