Name	Class	Date	

       Practice 9-1

Adding and Subtracting Polynomials

Write each polynomial in standard form. Then name each polynomial based on its degree and number of terms.
1.	4y3 - 4y2 + 3 - y	2. x2 + x4 - 6	3. x + 2

4.	2m2 - 7m3 + 3m	5. 4 - x + 2x 2	6. 7x 3 + 2x 2

Simplify. Pay attention to whether you are adding or subtracting!!  Write each answer in standard form.
19.	(3x 2 - 5x) – (x2 + 4x + 3)	20.	(2x 3 - 4x2 + 3) + (x3 - 3x2 + 1)

21.	(3y3 - 11y + 3) - (5y3 + y2 + 2)	22.	(3x2 + 2x3) - (3x2 + 7x - 1)

23.	(2a3 + 3a2 + 7a) + (a3 + a2 - 2a)	24.	(8y3 - y + 7) - (6y3 + 3y - 3)

25.	(x2 - 6) + (5x2 + x - 3)	26.	(5n2 - 7) - (2n2 + n - 3)

Practice 9-2 						Multiplying 
Simplify each product.
1.	4(a – 3)		2.	–5(x – 2)		3.	–3x2 (x2 + 3x)

4.	4x3 (x – 3)		5.	–5x2 (x2 + 2x + 1)		6.	3x(x2 – 5x – 3)	

7.	– x2 (–2x 2 + 3x – 2)		8.	4d2(d2 – 3d – 7)		9.	5m3(m + 6)	

Practice 9-3					Multiplying Binomials
Simplify each product. Write in standard form.

1.	(x + 3)(2x – 5)		2.	(x2 + x – 1)(x + 1)	
	3.	(3w + 4)(2w – 1)	

4.	(x + 5)(x + 4)	
	5.	(2b – 1)(b2 –3b + 4)	
	6.	(a – 11)(a + 5)