8-2 Study Guide and Intervention.pdf
NAME Answer Key. 8-2 Study Guide and Intervention. Multiplying a Polynomial by a Monomial. Example 1: Find ?3x² (4x² + 6x ? 8). www. Horizontal Method.
Study Guide and Intervention
Polynomial Multiplied by Monomial The Distributive Property can be used to multiply a -11z3 + 4z2 - z. 28x2 - 6x - 12. Example 1. Example 2. 8-2 ...
5-2 - Study Guide and Intervention
Glencoe Algebra 2. Study Guide and Intervention. Dividing Polynomials. 5-2. Long Division To divide a polynomial by a monomial use the skills learned in.
8-5 Study Guide and Intervention.pdf
Multiplying. 3(a + b) = 3a + 3b x(y ? z) = xy — XZ. Use the Distributive Property to Factor The Distributive Property has been used to multiply a polynomial by
8-2 Study Guide and Intervention - Multiplying a Polynomial by a
Polynomial Multiplied by Monomial The Distributive Property can be used to multiply a polynomial by a monomial. You can multiply horizontally or vertically.
Untitled
Multiply Monomials A monomial is a number a variable
8-3 Study Guide and Intervention - Multiplying Polynomials
track of terms in the product is to use the FOIL method as illustrated in Example 2. Example 1: Find (x + 3)(x – 4). Horizontal Method. (x + 3)(
Chapter 8 Resource Masters
PERIOD. Lesson 8-2. PDF Pass. Chapter 8. 13. Glencoe Algebra 1. Study Guide and Intervention (continued). Multiplying a Polynomial by a Monomial.
Chapter 8 cover
Chapter 8 Polynomials Multiply Monomials A monomial is a number a variable
8-2 - Skills Practice
PERIOD. Chapter 8. 14. Glencoe Algebra 1. Skills Practice. Multiplying a Polynomial by a Monomial. Find each product. 1. a(4a + 3). 2. -c(11c + 4).
NAME DATE PERIOD 8-2 Study Guide and Intervention - Weebly
multiply a polynomial by a monomial You can multiply horizontally or vertically Sometimes multiplying results in like terms The products can be simplified by combining like terms Find -3x2(4x2 + 6x-8) Horizontal Method-3x2(4x2 + 6x - 8) 2= -3x 2(4x) + (-3x)(6x) - (-3x2)(8) = -12x4 3+ (-18x) - (-24x2) = 3-12x4 2- 18x + 24x Vertical Method
8-2 Study Guide and Intervention - Amazon Web Services Inc
Polynomial Multiplied by Monomial The Distributive Property can be used to multiply a polynomial by a monomial You can multiply horizontally or vertically Sometimes multiplying results in like terms The products can be simplified by combining like terms Example 1: Find –3 (4 Horizontal Method + 6x – 8) Example 2: Simplify –2(4 + 5x) – x(
8-2 Study Guide and Intervention - St Louis Public Schools
Created Date: 4/5/2016 2:32:04 PM
00i ALG1 A CRM C08 TP 660282 - Weebly
11 To solve an equation such as x2 = 8 + 2x take the square root of both sides D 12 The polynomial 3r2-r - 2 can not be factored because the coefficient of r2 is not 1 D 13 AThe polynomial t2 + 16 is not factorable 14 The numbers 16 64 and 121 are perfect squares A 8 001_014_ALG1_A_CRM_C08_CR_660282 indd 3 12/20/10 7:02 PM Answers
Multiplying a Polynomial and a Monomial - Effortless Math
Answers Multiplying a Polynomial and a Monomial 1) T2+3 T 2) ?8 T+16 2 3) 24 T+2 T 4) 2? T 2+3 T 5) 9 T2?6 T 6) 15 T?30 U 7) 56 T2?32 T 8) 227 T+6 T U 9) 26 T+12 T U 2 10) 18 T2+36 T U T 11) 36 T2+108 T 18 12) 22 T2?121 T U 24 13) 12 T2?12 T U 6 14) 6 T2?12 T U+6 T 4 15) 215 T3+10 T U 30 16) 52 T2+104 T U 17) 10 T2?45 U2
NAME DATE PERIOD
Chapter 8 12 Glencoe Algebra 1
Study Guide and Intervention
Multiplying a Polynomial by a Monomial
Polynomial Multiplied by Monomial The Distributive Property can be used to multiply a polynomial by a monomial. You can multiply horizontally or vertically. Sometimes multiplying results in like terms. The products can be simplified by combining like terms.Find -3x
2 (4 x 2 + 6x - 8).Horizontal Method
3 x 2 (4 x 2 + 6x - 8) -3 x2 (4 x 2 ) + (-3x 2 )(6 x ) - (-3x 2 )(8) -12x 4 + (-18x 3 ) - (-24x 2 -12x 4 - 18x 3 + 24x 2Vertical Method
4x 2 + 6x - 8 ) -3x 2 -12x 4 - 18x 3 + 24x 2The product is
12 x 4 - 18x 3 + 24x 2 . Simplify - 2(4 x2 + 5x) x(x 2 + 6x). 2(4 x 2 + 5x) - x( x 2 + 6x) -2(4x 2 ) + (-2)(5x) + (-x)(x 2 ) + (-x)(6x) -8x 2 + (-10x) + (-x 3 ) + (-6x 2 (-x 3 ) + [-8x 2 + (-6x 2 )] + (-10x) -x3 - 14x 2 - 10xExercises
Find each product.
1. x(5x + x
22. x(4x
2 + 3x + 2) 3. -2xy(2y + 4x 2 5x 2 + x 3 4x 3 3x 22x -4xy
2 - 8x 3 y4. -2g(g
2 - 2g + 2) 5. 3x(x 4 + x 3+ x 26. -4x(2x
3 - 2x + 3) -2g 3 + 4g 2 - 4g 3x 5 + 3x 4 + 3x 3 -8x 4 8x 2 12x7. -4ax(10 + 3x) 8. 3y(-4x - 6x
32y) 9. 2x
2 y 2 (3 xy + 2y + 5x) -40ax - 12ax2 -12xy - 18x
3 y - 6y 2 6x 3 y 3 + 4x 2 y 3 + 10x 3 y 2Simplify each expression.
10. x(3x - 4) - 5x 11. -x(2x
2 - 4x) - 6x 2 3x 2 - 9x -2x 3 - 2x 212. 6a(2a - b) + 2a(-4a + 5b) 13. 4r(2r
23r + 5) + 6r(4r2
+ 2r + 8) 4a 2 + 4ab 32r 3 + 68r14. 4n(3n
2 + n - 4) - n(3 - n) 15. 2b(b 2 + 4b + 8) - 3b(3b 2 + 9b - 18) 12n 3 + 5n 2 - 19n -7b 3 - 19b 2 + 70b16. -2z(4z
2 - 3z + 1) - z(3z
2 + 2z - 1) 17. 2(4x 2 - 2x) - 3(-6x 2 + 4) + 2x(x - 1) -11z 3 + 4z 2 - z 28x 2 - 6x - 12Example 1Example 2
8-2 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Compan ies, Inc.NAME DATE PERIOD
Lesson 8-2
Chapter 8 13 Glencoe Algebra 1
Study Guide and Intervention (continued)
Multiplying a Polynomial by a Monomial
Solve Equations with Polynomial Expressions Many equations contain polynomials that must be added, subtracted, or multiplied before the equation can be solved.Solve 4(n - 2) + 5n = 6(3 - n) + 19.
4( n - 2) + 5n = 6(3 - n) + 19Original equation
4n - 8 + 5n = 18 - 6n + 19 Distributive Property
9n - 8 = 37 - 6n Combine like terms.
15 n - 8 = 37 Add 6n to both sides. 15 n = 45 Add 8 to both sides. n = 3 Divide each side by 15.The solution is 3.
Exercises
Solve each equation.
1. 2(a - 3) = 3(-2a + 6)
3 2. 3(x + 5) - 6 = 18 3
3. 3x(x - 5) - 3x
2 = -30 2 4. 6(x 2 + 2x) = 2(3x 2 + 12) 25. 4(2p + 1) - 12p = 2(8p + 12) -1 6. 2(6x + 4) + 2 = 4(x - 4) - 3
1 47. -2(4y - 3) - 8y + 6 = 4(y - 2)
1 8. x(x + 2) - x(x - 6) = 10x - 12 6
9. 3(x
2 - 2x) = 3x 2 + 5x - 11 1 10. 2(4x + 3) + 2 = -4(x + 1) -111. 3(2h - 6) - (2h + 1) = 9 7 12. 3(y + 5) - (4y - 8) = -2y + 10 -13
13. 3(2a - 6) - (-3a - 1) = 4a - 2 3 14. 5(2x
2 - 1) - (10x 2 - 6) = -(x + 2) -315. 3(x + 2) + 2(x + 1) = -5(x - 3)
7 1016. 4(3p
2 + 2p) - 12p 2 = 2(8p + 6) - 3 2Example
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