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401. 3125a402. 3216bAnswer: 26636bbb403. 3254m404. 3813mAnswer: 23 33931xxx6.4 General Strategy for Factoring Polynomials Recognize and Use the Appropriate Method to Factor a Polynomial Completely In the following exercises, factor completely. 405. 322444xx406. 43249aaAnswer: 3383aa407. 22165649nmnm408. 26259aaAnswer: 2931aa409. 42545uu410. 481nAnswer: 2933nnn
OpenStax 6.5 Polynomial Equations This file is copyright 2017, Rice University. All Rights Reserved. 411. 264225j412. 25560xxAnswer: 534xx413. 364b414. 3125mAnswer: 2(5)(525)mmm415. 222255bbccbc416. 52248243x yxyAnswer: 223492323xyxxx417. 251590qq418. 52344u vu vAnswer: 2211uuuu419. 4106250m420. 2607530x yxyyAnswer: Prime 421. 221624964xxyy6.5 Polynomial Equations Use the Zero Product Property In the following exercises, solve. 422. 370aaAnswer: 3 7aa 423. 5 16 1 0bb
OpenStax 6.5 Polynomial Equations This file is copyright 2017, Rice University. All Rights Reserved. 424. 612– 50mmAnswer: 0, 5/12mm425. 2(21)0x426. 32560mmmAnswer: 50 3 2mmm Solve Quadratic Equations by Factoring In the following exercises, solve. 427. 29200xx428. 2720yyAnswer: 8,9yy 429. 221140pp430. 32320qqqAnswer: 0,1,2qqq 431. 2144250m432. 2436nAnswer: 3,3nn 433. 6– 38 xx434. 3 24 12xxxAnswer: 3/ 2, 1xx 435. 3216249ppp436. 322212yyyAnswer: 0,2,3yyy
OpenStax 6.5 Polynomial Equations This file is copyright 2017, Rice University. All Rights Reserved. Solve Equations with Polynomial FunctionsIn the following exercises, solve. 437. For the function, 21120,fxxx(a) find when 8fx (b) Use this information to find two points that lie on the graph of the function. 438. For the function, 29185,fxxx(a) find when 3fx (b) Use this information to find two points that lie on the graph of the function. Answer: (a) 23xor 43x(b) 2,334,33In each function, find: (a) the zeros of the function (b) the x-intercepts of the graph of the function (c) the y-intercept of the graph of the function. 439. 26449fxx440. 26135fxxxAnswer: (a) 52xor 13x (b) 5, 0 ,21, 03(c) 0,5Solve Applications Modeled by Quadratic Equations In the following exercises, solve.441. The product of two consecutive numbers is 399. Find the numbers. 442. The area of a rectangular shaped patio 432 square feet. The length of the patio is 6 feet more than its width. Find the length and width. Answer: The length is 24 ft and the width is 18 ft. 443. A ladder leans against the wall of a building. The length of the ladder is 9 feet longer than the distance of the bottom of the ladder from the building. The distance of the top of the ladder reaches up the side of the building is 7 feet longer than the distance of the bottom of the ladder from the building. Find the lengths of all three sides of the triangle formed by the ladder