Use the factorization A= PDP-1 to compute AK, where k represents an arbitrary positive integer. = 2]-[1 1³:1 12 01 Ak = Ак - 15 72 -4 19 49 30 -2 1 9 -4 -

Q: C. 2a + 1 4. a )(a2 -1) (a - 1) (a + 1) (a - 1) (a + 1)

A: We factorize the given polynomial by factorize middle term i.e. term of a^2 .

Q: In Z2, 1 + 1 + 0 + 1 = 1 and 1 + 1 + 1 + 1 = 0.

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Q: (6,7) m || 2/3 in standard form.

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Q: -2 2 1 1 4х х2

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Q: Add the polynomials (10z - 82 7æ³ - 10) + (- 4x + 12a + 7a + 9) | Submit Question

A: Add the polynomials. Solution is given below-

Q: find the product of 4 6/4×3 4/3

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Q: Select two expressions equivalent to 15a² – 5a - 11 (Select all that apply.) (14a² − 9a +1)+(a² + 4a…

A: Given; 15a2-5a-11.

Q: ) Use the distributive law to determine which answer represents the given expression as a polynomial…

A: Distributive law a(b + c) = ab + ac

Q: If x2 + 9x + 14 х2 — 49 is divided by Зх + 6 x2 + x – 56 , the quotient is:

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Q: Will present the equation in 2 different ways. The numbers will not be expressed in numerical as…

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

Q: Find the product 3/2 (5 /12 + 6/6) and express your answer in the form A/B+ CVD, A, B, C, and D are…

A: Given : 32512 + 66

Q: Express −1+√−81 as a complex number −1+√−81

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Q: Write the expression 729-512x²y³ in factored form. a. (9 + 8xy)(9 – 8xy) b. (9+8xy) (81-72xy…

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Q: QUESTION 2 2.1. Find the value of -3x²+ 8x-15 if x = -2. 2.2. (a) Add the following polynomials:…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the coefficient of x24 in (x + x2 + x3 + x4 + x5 )8

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Q: Choose all the factor pairs of 54 O -3 and -18 2 and 27 6 and -9 7 and 8 -2 and 27 -6 and -9 -1 and…

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Q: For non-zero denominators, which of the following is equivalent to 1 2a a a + 1 -2a3 +1 a(a + 1) 1-…

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Q: For each of the following, perform the indicated computation. (a) (5 ỉ – 7j – 7k) – (-6ỉ – 83 + 7k)…

A: To simplify the vectors:

Q: = 5 Find a3, a4, and as for the recursive formula an = an-1 +3an-2 if a1 = 2 and a2

A: given   recursive formula is an= an-1+3an-2and   a1=2   ,  a2=5then we have to find  a3 , a4  , a5…

Q: 11. Factor the following polynomials: a) x²-4x-5 b) x²+10x+25 c) x3 +64 d) 10x219x - 15 e)…

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Q: Use long division to divide the following polynomials: (3ct + a3-#+1) 은 (22-2x + 1) O 3a2-5x +12 +…

A: Answer

Q: Expand and simplify each of the following algebraic expressions. b) (2)(3x – 6)(-3x + 4) a)…

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Q: Consider the expression: x² - 7x - 30 = 30 and A) Find two number, p and q such that p. q p+q= - 7.…

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Q: (d) an 10"+1 +3 x 4"-1+5 is divisible by 9 for all n2 1,

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Q: Multiply. (z-4)² O None of these Oz²-82-16 z² +8z+16 Oz² +16 z²-16

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Q: Determine the roots the following polynomian 25 - +72 - 7x2 + 12z - 12 if one of the roots is j2. O…

A: Consider the given polynomial is z5-z4+7z3-7z2+12z-12. One of the roots of the given polynomial is…

Q: 22) Create an expression that can be used to find Zg in terms of Zd.

A: There are so many ways to create expression for angle g but final expression will be same for all…

Q: b. Find a QR-factorisation of 1 -1 1 1 1 1 -1 0 |

A: Step:-1 Given matrix  is  110-1010111-10 Let  A= 110-1010111-10 Now, we'll apply Gram-Schmidt…

Q: 4 1) L-^ { 2x-3 5²-4x+8.

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Q: 3) Factor the following polynomials: (a) 12x²y + 4xy² - 18ay (c) 2x² - 9x - 18 (d) 27y³ - 125 (b) d…

A: Given polynomials are : (a) 12x²y+4xy²-18xy ;  (b) d²-5d-66 (c) 2x²- 9x - 18 (d) 27y³-125 (e) 121x²…