3 Operations with Polynomials

Algebra 2
1st Quarter: Skills Review #3
Name _____________________
Date _________ Block ______
10
Adding/Subtracting Polynomials.
Remember, you can only add or subtract LIKE TERMS! Do not change the exponents!
Ex: Simplify: (x + 3x - 4x - 8) + (2x - 5x - 6x + 1)
3x - 2x - 10x - 7
Multiplying polynomials. Distribute (FOIL when you have two binomials)
Add the exponents when you multiply!
Ex: Simplify: (2x + 5)(x – 6)
Ex: Simplify: (x + 3)
2
2x - 12x + 5x – 30
(x + 3) (x + 3)
2x - 7x – 30
x + 3x + 3x + 9
x2 + 6x + 9
1.
(x + 4)(x – 6)
3. (x + 8)(2x - 3)
5. (2x - 5)2
2.
(7x + 2)(3x - 1)
4. (3x - 1)(2x + 5)
6. (x + 3x – 4)(x + 3)
7. (5x + 4)(5x – 4)
8. (7x - 4)2
9. (5x3 + 4x)(4x2 + 3)
10. (x3 + 3x - 6)(x + 3)
Answers: Remember to earn FULL CREDIT on each problem you must show the work in detail.
1.
6.
2.
7.
3.
8.
4.
9.
5.
10.