Factoring Polynomials

Question 1 Find the greatest common factor of the polynomial 3xy + 6x3jA - 8xy3. Not yet answered Select one: Points out of O a . 3 xy3 14.28 O b. xy O c . xy 3 O d. 2x 3 3 Question 2 Bethany factors a polynomial function correctly and the results are shown Not yet below. What are the zeros of the polynomial function? answered Points out of f(x) = (x-5)(2x+3)(x-16)(x+16) 14.28 Select one: O a. 5- , 5, +16} O b. {-3, 5, +16} O c. {3, 5, +16} Od. 3 (7,5, +1 6} EQuestion 3 Factor the polynomial completely. p4 - 81 Not yet answered Select one: Points out of 14.28 O a. (p-3) (p+ 3)(02+ 9) O b. (0 - 3) (0+ 3) (0+ 3) (0 + 3) O c. (p + 1 3 ) 2 ( 0 - 13 ) 2 O d. (p2 - 9) (02+ 9 ) Question 4 Factor the polynomial j - 1912 + 48 completely. Not yet answered Select one: Points out of O a. (y-4)(y+4)(y-1.5)(y + 1.5) 14.29 O b. (y-V2) (y+v2)(y-V3)(y+V3) O c. (y-4)(y-4)(y-V3)(y-V3) O d. (y-4) (y+ 4)(y-V3)(y+V3) EInformation For questions 5 - 6, use the following information: Brooklyn wants to solve the polynomial equation 4x5 - 24x3 + 20x = 0 by factoring. Question 5 What is Brooklyn's first step to factor the polynomial 4x5 - 24x3 + 20x? Not yet answered Select one: Points out of O a. Divide all terms by x. 14.29 O b. Factor out the GCF, greatest common factor. O c. Find the LCD, least common denominator. O d. Find the factors of 20 that have a sum of -24.Question 6 Brooklyn solves the polynomial equation and receives full credit. Identify Not yet Brooklyn's solution set. answered Points out of Select one: 14.29 O a. {-1, 1, 4, -V5, V5} O b. {-1, 1, -5, 5} O c. {0, - 1, 1, 4, -V5, V5} O d. {0, -1, 1, -5, 5} O e. {0, - 1, 1, -V5, V5}Question 7 Bristol factors the trinomial 3x2 + 18x - 48 as shown below. When she Not yet multiplies to check her work, she gets the original trinomial. Explain why answered Bristol receives partial credit. Points out of 14.29 3x2+ 18x- 48 (3x - 6)(x+ 8) Select one: O a. The signs in her binomials are wrong. The correct answer is (3x +6)(x-8). O b. She did not factor completely, x +8 factors as (x+ \\ 8)(x+ 8). O c. The factors are out of order. The correct answer is (x+ 8)(3x -6). O d. She did not factor completely, 3x-6 factors as 3(x + v/2)(x-V2). O e. She did not factor completely because she did not factor out the GCF.Question 1 Drag and drop the values to use the quadratic formula to find the zeros of the Not yet polynomial 10x2 + 13x - 3. answered Points out of 35.71 + V(13)2 - 4( X= DD 169 X = + X = + X = X = or x = 1 -1 3 -3 10 -10 13 -13 5 12 20 -120 +120 -289 289 17 2 EInformation Question 2 Not yet answered Points out of 7.14 For questions 2 4, use the polynomial '18x2 + 9x 2. Drag and drop the values to factor the polynomial using the method of your choice. MI...\" E"..- Question 3 Not yet answered Points out of 7.14 Drag and drop the values to identify the zeros of the polynomial. Place the smaller zero on the left. x= OT X=D l -1 3 -2 E 2 1 -1 6 6 3 2 2 '3 Question 4 Drag and drop the values to rewrite the factorization from the question so Not yet that the coefficient of x is 1 within the parentheses. answered Points out of 7.14 18x2 + 9x - 2 = 18 x X + O/ - + W/ N W / N + N/ W N / W + 1 -1 + 2 -2 + 3 - 3 +6 -6 + 9 + 18 - 9 - 18Information For questions 5 - 7, use the polynomial x3 - 27. Question 5 Drag and drop the values and expressions to factor the polynomial. Not yet answered Points out of 7.14 ( x _ ) ( x + +27 -27 +9 -9 +3 -3 1 3 9 3x +6x -3x +3x -27x 27x 2Question 6 Not yet answered Points out of 7.14 Question 7 Not yet answered Points out of 7.14 Use the factorization from question 5 to nd the real zero of the polynomial x3 + 8. Select one: 0 a. The real zero is x= 3. O b. The real zero is X: 6. O c. The real zero is X: 3. 0 d. There are no real zeros. Use the factorization from question 6 and the quadratic formula to find the remaining zeros of the polynomial X3 + 8. Selectone: O a. x=3,x=6 O b. x=-3i3i\\/ O c. __+ x 2 _ 2: 3 0 d. x= i3 Information For questions 8 - 10, find the zeros of each trinomial using the method of your choice. Then, fill in the blanks to give the solutions. Write the smaller value first and write fractions in decimal form. Do not include any spaces in your answer. Question 8 4x2 +4x-15 Not yet answered The zeros are x = and x = Points out of 7.15 Question 9 20x2 - 19x+3 Not yet answered The zeros are X = and x = Points out of 7.15Question 10 5 x2 + 23x + 12 Not yet answered The zeros are X = and x = Points out of 7.15Information Question 1 Not yet answered Points out of 12.50 For questions 1 2, use the graph to determine the zeros and y-intercept of the given function. Enter your answers from smallest to largest. The zeros are X: and X: . The y-intercept is ( Question 2 Not yet answered Points out of 12.50 -8 3 2 The zeros are X = and x = The y-intercept is (Question 3 Not yet answered Points out of 12.50 2 3 6 8 9 10 11 12 The zero is x = The y-intercept isInformation For questions 4 - 8, determine the zeros and y-intercept of each function algebraically. Enter your answers from smallest to largest. Question 4 y = x2 - 7x - 8 Not yet answered The zeros are X = and x = The y-intercept is ( Points out of 12.50 Question 5 y = 6x2 + 7x+2 Not yet answered The zeros are X = and x = 4 The y-intercept is ( Points out of 12.50Question 6 fx ) = (x+ 2) 3 ( x- 4) Not yet answered The zeros are x = and X = The y-intercept is ( Points out of 12.50 Question 7 y = 2x - 18x Not yet answered The zeros are x = X = and X = The y-intercept is ( Points out of 12.50 Question 8 f(x) = x2 - 6x+9 Not yet answered The zero is x = The y-intercept is ( Points out of 12.50Information For questions 1 - 2, construct a polynomial function with real number coefficients that has the given zeros with multiplicity as indicated. Question 1 x = 0 multiplicity 3, x = 3/ multiplicity 1 Not yet answered Select one: Points out of O a. A( x ) = > + 9x2 16.66 O b. Ax ) = x5- 9x3 O c. A( x ) = x3 + 9x O d. f( x) = x5+ 9x3Question 2 x = / multiplicity 1, x = 2/ multiplicity 1, x = 0 multiplicity 1 Not yet answered Select one: Points out of O a. A( x ) = x6 +5x4- 4x2 16.66 O b. ((x ) = x6- 5x4- 4x2 O c. A(x ) = x5 + 5x3 + 4x O d. A( x ) = x5 - 5x3 - 4xInformation For questions 3 - 5, write the linear factorization of the polynomial function with the described zeros. Question 3 -4, 1, 6 Not yet answered Select one: Points out of O a. A( x) = (x+ 4)(x- 1)(x-6) 16.67 O b. A(x) = (x- 3)(x+ 1)(x+ 6) O c. A(x) = (x+ 4)(x- 1)(x-6)(x+ 6) O d. A(x) = (x-4)(x+1)(x+6)Question 4 -2 with multiplicity 5, 3 with multiplicity 2, V3i Not yet answered Select one: Points out of 16.67 O a. f(x) = (x-2)5(x+3)2(x-13i) O b. f(x)= (x-5)2(x-2)3(x-13/)(x+V3/) O c. f ( x) = (x+ 2)5(x-3)2(x-13/)(x+13/) O d. f ( x) = (x+ 2)5(x-3)2(x-3/) Question 5 -5, 0 with multiplicity 4, 3/ Not yet answered Select one: Points out of O a. A(x) = X ( x+ 5) (x- 31)(x+ 31) 16.67 O b. Ax ) = > (x+ 5)(x- 31) O c. Ax ) = > ( x- 5) (x- 31) (x+ 31) O d. A(x ) = > ( x- 5) (x- 31)(x- 31)Question 6 Write the linear factorization of the polynomial function f(x) = x - 1. Not yet answered Select one: Points out of O a. f(x) = (x- 1)(x+ 1)(x2 + 1) 16.67 O b. A(x) = (x- 1)(x+ 1) (x+1)(x-1) O c. A(x ) = (x- 1)(x+ 1)(x+1)(x-1) O d. A(x) = ( x2- 1)(x2+ 1)