Factor each of the following, factor each completely. First look to see if it is a special factoring case. Or look to factor out the greatest common factor if there is one. First rewrite each in the form of Ax? + Dx + Ex + C and then factor by grouping. Write your answer in the blank provided. 1. 1. 3x2 - 13x - 10 2. 2. 10x2- 17x- 20 3. 3. 2x2 +x - 6 4. 4. 6x2 + 2x - 4 5. 2x2 – x - 6 5. 6. 15x2 + 24x + 9 6. Factor each of the following completely. First look to see if it is a special factoring case. Or look to factor out the greatest common factor if there is one. Write your answer in the blank provided. 7. 7. 6x2 + 8x - 8 8. 20x2 – 20 (hint: first factor greatest common factor) 8. 9. 9. x2 – 16 (hint: special factoring case) 10. 10. x2 – 2x - 8 11. x3 – 5x2 – 9x + 45 (hint: factor by grouping) 11. 12. x*y - x³y² – 6x²y³ (hint: first factor greatest 12. common factor)

Q: Are 2x2 – 12x + 16 and x2 - 6x + 8 factored in the same way? Explain why or why not. Yes. They are…

A: We have 2 equations 2x2 - 12x +16 = 0        .... (1)  x2 - 6x + 8    = 0           .... (2)

Q: each of the following by either GCF or by grouping show your work:   1.    9x5−6x3+ 12x

A:

Q: Show that xଶ − 4 is a factor of x4− 5x3 + 2x2 + 20x − 24.

A: Let f(x) and g(x) be two functions  then g(x) will be the factor of f(x) if remainder(f(x) / g(x))…

Q: Factor the common factor out of each expression. 7) -10a + 3a? 8) –10k² + 12k 9) 12p° – 33p? 10)…

A: Disclaimer: Since you have posted a question with multiple sub-parts; we will solve first three…

Q: Factor the following by grouping: 1. 6x2 + 9xy- 14x-21y 2. 5xy - 8x - 10y + 16 3. 12ab - 14a - 6b +7…

A: Given; 6.  12n2+4n2+3n+1 7. m3-m2+2m-2 8. 5n3-10n2+3n-6.

Q: Can you show me the steps to completely factor    x4+27x  into x(x+3)(x2-3x+9)?

A:

Q: 13) When 16x4y2 - 49 is factored completely, one of the factors will be A) xy+7 B) x?y - 7 C) 4xy+7…

A: when 16x4y2-49 is factored completely,

Q: Use the Factor Theorm to show that x-c is a factor of p(x) for the given value(s) of C. please show…

A: To apply factor theorem.

Q: This question must be solved by "factoring". Be sure to show your work accordingly. 1 - 10 = 3x o…

A:

Q: Factor completely 4(x+5)^(3)(x-1)^(2)+(x+5)^(4)*2(x-1)

A: Given: 4x+53x-12+x+54×2(x-1)

Q: Factor Completely: 5) 6x – 24x 6) 2a? + 16a + 24 7) 81x - 1 8) 4x – 4x2 – 24x

A:

Q: This question must be solved by "factoring". Be sure to show your work accordingly. (n+ 1) (4n + 1)…

A: Factoring of equation is

Q: Which of the following is a factor of 6x² + 17x + 12? O 3x + 4 O 2x +4 O 3x + 3 O None of the above

A:

Q: 3. If one of the factors of (x2 + 12x + 20)is (x + 10). Find the other factor

A:

Q: Factor completely a. 9−16r9  b.m2 −4p2 c.x2 −1/4

A: We have to factor completely the following: 9-16r2 m2-4p2 x2-14

Q: Factor the following: 4x² – 7x-15 4x² : x : 3 : -3 :: 5 ::-5 :: 4x :: 5x ::-5x : 7 :: 7x : -12 :: -7…

A: Find factor

Q: Need some help desperately

A:

Q: One of the factors of 4x - 9 is 1) (x+3) 2) (2x +3) 3) (4x – 3) (x – 3) 4)

A: Given: Let the given expression is 4x2-9   Formula used: a2-b2=(a-b)(a+b)

Q: One of the factors of 4x2 -9 is A) (4x-3) B) (2x + 3) C) (x+ 3) D) (x- 3) O A O B

A: Given : The equation is .   To find one of the factors of the given equation.

Q: Factor 8m-6m². .….......

A: Given: 8m-6m2

Q: 1. Factor each of the following: a. 2x2 + 5x - 12 b. (x +3)2 - 7 (x + 3) с. ха- 8

A:

Q: Show that p-1 is a factor of p10-1 and also p11-1

A:

Q: Which of the following is the factored form of x^3 + 3x^2 – 10x – 24? * - O (x - 4)(x – 3)(x – 2) O…

A: Let f(x) = x3 + 3x2 - 10x - 24

Q: One of the factors of 4x2-9 is 1) (x+3) 2) (2x +3) 3) (4x-3) 4) (x-3)

A: we have to find the one of the factor of 4x^2 -9

Q: 3. The greatest common factor for 15x5y² – 6x³y* + 9x²y³ is A) 3 B) 3xy C) 3x?y? D) 3x5y*

A:

Q: When factored completely, x'- 13x – 30x is 1) x(x+3)(x – 10) 2) x(x – 3)(x – 10) 3) x(x+2)(x – 15)…

A: We have to factor the given equation, solution is given as below

Q: 11. Colin says that the greatest common factor of – 8x² + 4x – 6 is 2, but Colleen says that it is –…

A: Given:        Function is  -8x2+4x-6                       =-28x22-4x2+62…

Q: 21. Factor 27x +125 (3x +5)(9x² +25) (3x – 5)( 9x² +15x+25) C ){ x² = ) С. (3x +5) 30x+25 D. (3x +5)…

A:

Q: If (x-3) is a factor of x3 - 13x+ 12, what are the other factors. A. (x-6) and (x+2) B. (x- 2) and…

A:

Q: factor a problem like the following: x2(x2 − 4) − 25(x2 − 4)

A:

Q: What is left inside the parenthesis after factoring 4 from (12x+4)? A) (3x+1) B) (3x) C) (12x+1)

A: What is left inside the parenthesis after factoring 4 from (12x+4)

Q: 1. x2 + 5x +6

A:

Q: How should y = x^2 -10 + 3x be written in factored form? O A. y = (x + 5)(x +2) O B. y = (x + 5)(x -…

A: We now write y= x^2 -10 + 3x in factored from.

Q: Factor the common factor out of the given factor: 27y7+ 12y2x + 9y2

A: To find the common factor out of the given expression.

Q: Choose the correct answers below. 6x-12 4x+7x-15 x* - бх-27 6. 1. There are pieces of the above…

A: We have,   It is known that quadratic equation can be factored by using quadratic formula.

Q: When factored completely, x'- 13x - 30x is 1) x(x+3)(x– 10) 2) x(x- 3)(x – 10) 3) x(x+2)(x – 15) 4)…

A: polynomial = x3 - 13x2 - 30xpolynomial = x(x2 - 13x - 30)     ..............(1)

Q: Consider the equation 9x2 + 14x-8 0. Part A Which of the following are the factors of 9x + 14x – 8?…

A:

Q: Avoid PART I 50pts PULYNOMIAL EQUATIU Factor each equahion by using any of three methods of…

A: Factorisation method:

Q: 2) Write the factored form of the equation for the given polynomial. y (-1, 4) 4 -5 -2 -4

A:

Q: Complete the sentences to explain how to factor 3x2 + 17x + 10 by grouping. 3x2 + 17x + 10 = 3x2 + x…

A: See below the answer and calculation

Q: 1. that has been shrunk vertically by a factor of The shape of y = Preview

A: Given,

Q: When factored completely, x3 - 9x is 4) cquivalent to A) x(x- 3) B) x(x+ 3) C) x(x+3)(x - 3) D) (x+…

A:

Q: This is more of a double-check question: The question in the book says "Factor the expression…

A: The given expression is:

Q: S 2 is a factor of n2 -n.

A:

Q: factor completely  5y2+45y+100

A: Factors of a quadratic trinomial – If a quadratic trinomial is given and we have to factor it then…

Q: Which of the following is a factor of 500x3 + 108y18?  6  5x + 3y6  25x2 + 15xy6 + 9y2  All of…

A: The solution for the above question is as shown below.

Q: 1) When x2- 4x -12 is factored completely, 8) one of the factors will be A) x+ 2 B) x-4 C) x-3 D)…

A: We have to find correct answer

Q: Which of the following is not a factor of 45x-5? (1) 9x2-1 (3) x-5 (2) 5 (4) 3x+1 O 2 3

A: We have to check

Q: 12) When x-81 is factored completely, one of the factors will be C) x2+9 D) x-9 A) x+9 B) x2 +3

A:

Q: Factor completely. x3 − 6x2 − 6x + 36

A: