[PDF] [PDF] Study Guide and Intervention Polynomials

Study Guide and Intervention Polynomials a monomial or a sum of monomials Multiply Polynomials You use the distributive property when you multiply



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[PDF] 8-2 Study Guide and Interventionpdf

NAME Answer Key 8-2 Study Guide and Intervention 3: 23 AH FIT Polynomial Multiplied by Monomial The Distributive Property can be used to multiply a polynomial by a monomial You can Sometimes multiplying results in like terms



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pdf 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(





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

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NAMEDATEPERIOD

Study Guide and Intervention

Polynomials

Add and Subtract Polynomials

Polynomiala monomial or a sum of monomials

Like Termsterms that have the same variable(s) raised to the same power(s) To add or subtract polynomials, perform the indicated operations and combine like terms.

S~mplify

-6rs + 18r 2 - 5s 2 - 14r 2 8rs - 6s

2.-6rs + 18r2 - 5s2 -14r2 + 8rs- 6s2

= (18r 2 - 14r 2)

6rs + 8rs) + (-

5s 2 - 6s

2)Group like terms.

= 4r 2 2rs - ].Xs

2Combine like terms.

Simplify 4xy

2 + 12xy -

7x2y -

(20xy + 5xy 2 - 8x2y). 4xy 2 + 12xy- 7x2y- (20xy + 5xy 8x~y) = 4xy 2 + 12xy - 7x2y - 20xy - 5xy 2 + 8x2yDistribute the minus sign. = (_7x2y +

8x2y ) +

(~y2 _ 5xy2) + (12xy -- 20xy)Group ~ke terms. = x2y - xy 2 - 8xyCombine like terms.

Simplify.

1o (6x

2 - 3x + 2) - (4x 2 + x - 3)2. (7y2 + 12xy - 5x2) + (6xy - 4y2 - 3x2) 3. (-4m 2 - 6m) - (6m + 4m

2)4. 27x2 - 5y2 ÷ 12y2 - 14x2

5. (18p

2 llpq - 6q 2) - (15p 2 3pq + 4q 2)

6. 17j

2 - 12k 2 + 3j 2 15j 2 + 14k

27.(8m2- 7n2)-(n2- 12m2)8.14bc + 6b - 4c + 8b - 8c + 8bc

9. 6r2s +

llrs 2

3r2s - 7rs

2

15r2s -

9rs 2 10o -9xy + llx 2 - 14y 2 - (6y 2 5xy - 3x

2)11. (12xy - 8x + 3y) + (15x - 7y - 8xy)12. 10.8b2 - 5.7b + 7.2 - (2.9b2 - 4.6b - 3.1)

13.(3bc-

9b

2-6c2)+(4c2-b2

5bc)14. 11x2 + 4y2 -{- 6xy + 3y2 - 5xy - lOx

212 3 12 1 12 3215.-~x - --gxy + -~y - --~xy + -~y - ~x16. 24p3 - 15p2 + 3p - 15p3 + 13p2 - 7p

© Glencoe/McGraw-Hill~245Glencoe Algebra 2

NAME DATEPERIOD

Study Guide and Intervention

Polynomials

Multiply Polynomials

You use the distributive property when you multiply polynomials. When multiplying binomials, the FOIL pattern is helpful. FOIL

Pattern

To multiply two binomials, add the products of

F the first terms, O the outer terms, I the inner terms, and L the lastterms.

Find ~y(6

- 2y + 5y2).

4y(6 - 2y + 5~

2) = 4y(6) + 4~(-2~) + 4y(5y = 24y - Sy u + 20y 3

Distributive Property

Multiply the monomials.

Find (6x- 5)(2x + 1).

(6x-5)(2x+ 1)= 6x.2x + 6x. 1 +

First termsOuter terms

= 12x 2 + 6x- 10x- 5 = 12x 2 - 4x - 5 (-5)-2x +

Inner terms

Multiply monomials.

Add like terms.

(-5)" 1

Last terms

Find each product.

1. 2x(3x

2 - 5)2. 7a(6 - 2a - a2)3.-5y2(y2 + 2y- 3)

4. (x- 2)(x + 7)5. (5 - 4x)(3 - 2x)6. (2x- 1)(3x + 5)

7. (4x + 3)(x + 8)8. (7x- 2)(2x- 7)9. (3x- 2)(x + 10)

10.3(2a+5c)-2(4a-6c) " 11.2(a-6)(2a+ 7)12. 2x(x + 5) - x2(3 - x)

13. (3t

2 - 8)(t 2 + 5)14. (2r + 7)215. (c + 7)(c- 3)

16. (5a + 7)(5a- 7)

18. (x

2 - 2)(x 2 - 5)

20. (2n

2 - 3)(n 2 + 5n - 1)

17. (3x

2 - 1)(2x 2 + 5x)

19. (x + 1)(2x

2 -3x + 1)

21. (x- 1)(x

2 - 3x + 4)

© Glencoe/McGraw-Hill246Glencoe Algebra 2

NAMEDATEPERIOD

Skills Practice

Polynomials

Determine whether each expression is a polynomial. If it is a polynomial, state the degree of the polynomial. b2c1. x2 + 2x + 22. d43. 8xz + -~y

Simplify.

4.(g+5)+(2g+7)5.(5d+5)-(d+ 1)

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