Algebra 1 Quiz – Chapter 7

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Algebra 1 Quiz REVIEW– Chapter 9
Sections 9.1- 9.3 – Add, Subtract, and Multiply Polynomials
Name: __________________________________________ Date: ___________ Hour: ___________
Find the sum, difference, or product.
1. ( x2  3x  5)  (2 x 2  11x  1)
2. (8 y3  7 y 2  y)  (8 y3  5 y 2  7)
3. 2 x 2 (3x5  x3 )
4. (m  3)(2m2  5m  1)
5. (2r  11)(r  6)
6. (8 p  2)( p  1)
7. (5w  9)2
8. (2s  7) 2
9. ( x  4)( x  4)
10. Given the polynomial
5 x 3  9 x
State the degree of the polynomial: ___________
State the leading coefficient: ________________
Classify it by the number of terms:
monomial
binomial
trinomial (circle one)
9.1-9.3 Quiz REVIEW 11/2010
Review EXTRA Practice
9.1 Add and Subtract Polynomials
Vocabulary: monomial, binomial, trinomial, degree, leading coefficient
Format:
Add
Subtract
(
(
)+(
)–(
)
)
9.2 Multiply Polynomials
Format:
(
)(
)
or
monomial(
)
Multiplication of two Binomials: FOIL: First
Outer Inner
Last
* Used to remember how to use the distributive property to multiply binomials.
(see page 563)
9.3 Find Special Products of Polynomials
Square of a Binomial Pattern
(a  b)2  a 2  2ab  b2
(a  b)2  a 2  2ab  b2
Sum and Difference Pattern
(a  b)(a  b)  a 2  b2
Example: (2 x  5)2  4 x 2  20 x  25
Example: (2 x  5)2  4 x 2  20 x  25
Example: ( x  5)( x  5)  x 2  25
Practice:
1. ( x 2  5x  9)  (6 x 2  8x  4)
2. (a 2  a  1)  (8a 2  5a  6)
3. x( x3  8x 2  4 x  2)
4. ( x  1)( x 2  5 x  3)
5. (2 x  1)( x  7)
6. (a  10)(a  2)
7. (2 x  4)2
8. (3 y  7)2
9. ( x  10)( x  10)
10. Given: x 2  8 x  7
Degree: __________
Leading Coefficient: ____________
Classify: ______________________

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