Ex. 5 If a, b, and care any integer values except zero, then the expression ap2 + bp + c will always, sometimes, or never have a greatest common factor. Explain your answer. Ex. 6 Factor completely.

Q: Suppose that |a − 6| ≤ 2 and |b| ≤ 3. (a) What is the largest possible value of |a + b|? (b) What is…

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Q: 3. Find the value of n in the equation 3P(1,4)=P(n-1,5)

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Q: In Z12, what is the order of a + b if a = 6 and a = 2? 6 2 3 8

A: SOLUTION-

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A: Given, One-hundred pizzas were randomly assigned to five different temperatures and baked for…

Q: 7. Find the difference of (3m'n-mn-4m+3) and (4m'n+3mn +2m+6), what is the coefficient of m in the…

A: Difference between two expression

Q: 1. Factor fully. a) 60х - 10х — 150 b) 12km – 72k – 5m + 30 16у' - 1 d) 49 — у' + х* 2 - 14х

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Q: Sekiranya 2e3x - 5 = 3, maka x = If 2e3x - 5 = 3, then x =

A: Solve the equation

Q: 2. Three men and four women are to be selected from a group of 10 men and 12 women. In how many ways…

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Q: 3. Factor the expression. w2 + 18w + 77 O (w - 7)(w + 11) O (w + 1)(w + 77) O (w - 7)(w - 11) O (w +…

A: Given expression:…

Q: A= 3 8 If what is A?

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Q: 4. Alice determined that the binomial below can't be factored. x + 36 = 0 Do you agree or disagree…

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Q: Factor the sum or diffrence of two cubes.  a. x3-8

A: Given expression is x^3-8 . We can write 8 =2^3

Q: (a) The sum of the squares of 6 and 7

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Q: If 2a + b = -8, then 4a + 3b = А. -16 В. Ь- 16 С. -b -8 D. none of these

A: Let 2a+b=-8 multiple by 2 on both side 2(2a+b)=2(-8)

Q: If |a5| = 12, what are the possibilities for |a|? If |a4| = 12, what arethe possibilities for |a|?

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Q: 7) You are teaching a first year algebra course and the author of your textbook has a statement that…

A: Formula:  an-bn=a-ban-1+an-2b+⋯+abn-2+bn-1

Q: 24a + 20ab- + 24ab + 20b° 20ab? + 24ab + 20b3 24a? + 20ab? + 24ab + 20b` 2 3 (Factor comple

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Q: Suppose that 6. 1 + В A 7 4 -3 C -7 7 -1 14 -3 -2 -8 -4 D 0 3 -4 -4 10 What are the values of A, B,…

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Q: Find n(A)   A= {1/2, -1/2, 1/3,- 1/3,......1/10, -1/10}

A: Compute n(A) as follows.Assume a set B with 20 elements.B = {1,−1, 2, −2, 3, −3,......10, −10}.

Q: HoW Many different ways can the letters of each word be arranged? a. QUADRATIC b. BASKETBALL C.…

A: We have to find nom of permutations possible from given words.

Q: Find the values of c1, c2, and c3 so that c1 (4, –6, 2) + c2(-4, 3, 0) + c3 (-2,0, 0) = (-4, –3,…

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Q: In an AP  if d = -4 , n   = 7 , an=4 , then a is equal to

A: The general form for the nth term of an AP is, an=a+n-1d Here, a is the first term, n is the number…

Q: Which one of the following is not a depreciable factor? a. Building b. Land c. Vehicle d. Machinery

A: We can answer it by the definition of depreciable factor

Q: If ΔΜΝP ΔΤV then N 2[?] Enter the letter that belongs in the green box.

A: ∆MNP≅∆TUV

Q: of people who have read a new book Is 300 at the beginning January. O. The number of people who have…

A: As our policy we are allowed to do maximum three subparts of question. Kindly repost other parts in…

Q: | If A = -2 4 and B then what is 3A - 2B ? -2 -1 4

A: We have to find matrix

Q: The local florist is making bouquets for a wedding. She has 36 roses, 24 irises, and 48 daisies She…

A: The product of the common prime factors of 2 or more numbers is the greatest common factor(GCF) of…

Q: Given that 2m-3-1-73 5 " then m =

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Which one is a factor of 24 but not a multiple of 4? Select one: a. 4 b. 12 C. 6

A: We know that from given options 6 is a factor of 24 but not a multiple of 4

Q: 3 If A = 3 what is A-1?

A: Given that: A=3-430

Q: Suppose that A = {b, c, d} and B = {a, b}. Find: Q6.1 (A × B) N (B × B)

A: A=b, c, d  and  B=a, b Now, A×B=b, a, b, b, c, a, c, b, d, a, d, b&B×B=a, a, a, b, b, a, b, b

Q: 3. Which of the following is equivalent to 4a2- 25b6 ?

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Q: Which statement is true about the numbers 20 and 30? A The greatest common factor between 20 and 30…

A: Algebra

Q: Find, if possible, A + B, A - B, 2A, and -3B.

A:

Q: 3. The area of a square checkerboard is represented by the monomial below. What is the length of a…

A: Area of Square is = (Side)2 Given that , Area = 9m2n2.

Q: I need help on 4a, 4b

A: 4a) She must pick the side length of the colored papers so that it divides both length and width.…

Q: 8. The expression x? + kx + 100 can be factored. a) What are some possible values of k? Give two…

A: Topic = Quadratic equation

Q: show that A (7b +p) = A (7b) + A (p).

A: Given A = [v1 v2 v3]  ,  b = xyz   and   p = 375

Q: a. What is a greatest common factor? a gef is the larg er Factor oF two hummbers b. What is the…

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Q: if a1 = 4 and an = an-1-4 then find the value of a6?

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Q: b) Enel 1-3-5 (2n-1)

A: We find radius of convergence and interval of convergence of the given power series.

Q: 2. Find the value of b. 8 b+ 3 6.

A: Let, name the given triangle as shown:

Q: 7. Find the value of to complete the factoring of: 62 -86 + 15 = (b –-5)(6+) 1. 10 2.-10 3. 3 4. -3

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Q: A two-factor research study has 2 levels of factor A and three 3 of factor B with n = 8 participants…

A: The value for dfbetween treatments is, Thus, the value for dfbetween treatments is 5.

Q: - List the sides of ABCD in order from least to greatest if mLB = 10x – 28, mLC = 6x - 1, and m<D =…

A: Find sides from least to greatest.

Q: What are the factors of m-6m+6m-36? 1 O (m-2)(m+ 18) O (m-3)(m+ 3) O (m - 4)(m + 9) O (m-6)(m + 6)

A: Given