286 Multiply the following 3 3 6 6 1 1 p p q q r r Explain the pattern that you

286 multiply the following 3 3 6 6 1 1 p p q q r r

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286. Multiply the following: ( 3)( 3) ( 6)( 6) ( 1)( 1) p p q q r r Explain the pattern that you see in your answers. Answer: Answers will vary. 287. Why does 2 ( ) a b result in a trinomial, but ( )( ) a b a b result in a binomial?
OpenStax 5.4 Dividing Polynomials This file is copyright 2017, Rice University. All Rights Reserved. Intermediate Algebra 5: Introduction to Polynomials and Polynomial Functions 5.4 Dividing Polynomials Divide Monomials In the following exercises, divide the monomials. 278. 4 9 4 9 15 15 r s r s Answer: 1 279. 8 4 5 9 20 30 m n m n 280. 4 8 9 5 18 27 a b a b Answer: 3 5 2 3 b a 281. 5 9 8 6 45 60 x y x y 282.  5 4 3 6 7 5 10 5 25 m n m n m n Answer: 5 2 mn 283.  4 7 3 8 12 10 18 6 36 p q p q p q 284.   4 3 5 2 3 6 4 12 a b ab a b a b Answer: 6 2 b 285.   2 5 3 3 4 4 15 12 u v u v u v u v Divide a Polynomial by a Monomial In the following exercises, divide each polynomial by the monomial. 286. 4 3 9 6 3 n n n Answer: 3 2 3 2 n n
OpenStax 5.4 Dividing Polynomials This file is copyright 2017, Rice University. All Rights Reserved. 287. 3 2 8 6 2 x x x 288. 4 3 2 63 42 7 m m m   Answer: 2 9 6 m m 289. 4 3 2 48 24 8 y y y   290. 3 2 2 3 4 3 2 2 66 110 44 11 x y x y x y x y Answer: 2 6 10 4 x y x y 291. 5 2 4 3 3 5 2 2 72 132 96 12 r s r s r s r s 292. 2 10 5 4 5 x x x Answer: 4 2 1 5 x x   293. 2 20 12 1 4 y y y Divide Polynomials using Long Division In the following exercises, divide each polynomial by the binomial. 294. 2 7 12 3 y y y Answer: 4 y 295. 2 2 35 5 a a a 296. 2 6 19 20 4 m m m Answer: 6 5 m 297. 2 4 17 15 5 x x x 298. 2 2 20 6 q q q Answer: 44 4 6 q q
OpenStax 5.4 Dividing Polynomials This file is copyright 2017, Rice University. All Rights Reserved. 299. 2 11 16 8 p p p 300. 3 2 3 4 1 b b b Answer: 2 3 2 2 b b 301. 3 2 10 28 3 n n n 302. 3 1 1 z z Answer: 2 1 z z 303. 3 1000 10 m m 304. 3 64 27 4 3 x x Answer: 2 16 12 9 x x 305. 3 125 64 5 4 y y Divide Polynomials using Synthetic Division In the following exercises, use synthetic Division to find the quotient and remainder. 306. 3 2 6 5 14 x x x is divided by 1 x Answer: 2 7 12;2 x x 307. 3 2 3 4 12 x x x is divided by 2 x 308. 3 2 2 11 11 12 x x x is divided by 3 x Answer: 2 2 5 4;0 x x 309. 3 2 2 11 16 12 x x x is divided by 4 x 310. 4 2 13 13 3 x x x is divided by 3 x Answer: 3 2 3 4 1;0 x x x 311. 4 2 6 10 x x x is divided by 2 x 312. 4 3 2 2 9 5 3 6 x x x x is divided by 4 x Answer: 3 2 2 1; 2 x x x 313. 4 3 2 3 11 2 10 6 x x x x is divided by 3 x
OpenStax 5.4 Dividing Polynomials This file is copyright 2017, Rice University. All Rights Reserved. Divide Polynomial Functions In the following exercises, divide. 314. For functions   2 13 36 f x x x and   4, g x x find (a) f x g (b) 1 f g Answer: (a) 9; f x x g (b) 1 10 f g   315. For functions   2 15 45 f x x x and   9, g x x find (a) f x g (b) 5 f g 316. For functions   3 2 7 2 f x x x x and   2, g x x find (a) f x

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