Use prime factorizations to fine the GCF of each set of expressions m18 n2, m15 p6 10r s2 t, 25r2 s3, 40s2 t2

Q: For what value of m is x3-2mx2+16 divisible by x + 2?

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Q: Determine  for n=6 and pie = 0.83 what is p(x=5)

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Q: Which of the following rules is used to find the number of positive integers less than 1000 that are…

A: To Determine: which of the following rules is used to find the number of positive integers less than…

Q: A. Is the set of all positive integers closed for subtraction? Is the set of all positive integers…

A: The set is closed under subtraction when  we take any two numbers from set and if there subtraction…

Q: If p(x) = 4x2 + 2x -4, find p 2x-4, find p (Type (Туре an integer or fraction.)

A: given: p(x)=4x2+2x-4 we have to find the value of p14

Q: Can you use mathematical induction to show that 4 divides 32x + 7 First define the predicate P(x)

A: Yes we can use mathematical induction for Natural number x.

Q: Q3/ The value of k such that P2 (1) = 2.8, k 4 1 2 Is

A: P2(x)=(x-k)(x-4)(2-k)(2-4)×0+(x-2)(x-4)(k-2)(k-4)×1+(x-2)(x-k)(4-2)(4-k)×22.8=(1-2)(1-4)(k-2)(k-4)×1…

Q: Let A=17827425 and B=234000, are the lcm(A,B) = 3x7x11 2x3 x5x7?x11?x13×17? 3x7?x11?…

A: The LCM (a,b) is calculated by finding the prime factorization of both a and b. Then multiply each…

Q: use prime factorizations to find the gcf of each set of numbers  42 and 70? 27, 45, and 54?

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Q: In a sports league of x teams in which each team plays every other team twice, the total number N of…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Discrete Math

A: According to the given information, Suppose that:

Q: The prime factorization of 7007 is B.11.13 O11.13 V.11.13 011³.13

A: First option is correct.

Q: 6. Evaluate 2. 2k k=1

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Q: (c) By using CDF Determine P(X> 3)

A: Given:

Q: 5. Find the highest power of 2 that divides each of the following integers. a) (101111110)2 b)…

A: The decimal number is equal to the sum of binary digits (dn) times their power of 2 (2n): decimal =…

Q: In the diagram below, ABCD is a rectangle with side lengths AB = 3 and BC = 11, and AECF is a…

A: Properties of rectangle Opposite sides are parallel and equal. Each interior angle has measure of…

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: the number of words (does not need to be meaningful) can be made using all the letters in "BYE…

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Q: Find the which value of n for where vin)' is the divisors ofn Smallest vin) =6 number of positive

A: The given problem is related to number theory. Here, we have to find the smallest value of n for…

Q: Q3/ The value of k such that P2(1) = 2.8, 2 4 |0 1 2 Is

A: We can use the divided difference formula to find the value of k.

Q: Use the prime factorizations a = 24 x 34 x 52 x 73 and b = 22 x 3 x 53 x 11 to find the prime…

A: Given a=24×34×52×73b=22×3×53×11

Q: of its prime factors. 2. 24

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Q: Let n P₁ P2 = ppp be the prime factorisation of an integer n > 1. 1: ti A 11. C.

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Q: Find the product. (x-6)(x+6) O x²+12x-36 O x²+36 O x2-36 O ²-12x-36

A: On multiplying ,we get

Q: what are the integers of 4 < x < 6

A: An integer is a real number which can be represented as a whole number without any fractional…

Q: A recent study shows that 18% of adults in the US do not use the Internet. Suppose that 12 adults…

A: It is given that n =12 and p =0.18.

Q: The prime factorization of 7007 is D113.13 O11:13 3.11.13 7.11.13

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

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

Q: Find the Bernstein Poly nomial when You put n =5. that means want to find Bn (f/(x)

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Q: Evaluate |⊂(R)| if R={n: n is a factor of 500}

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Q: Let A5 = {5k|k € N}, A7 = {7k|k € N} Show that A5 A7 = 0

A: We prove our result by Contradiction method. First we suppose that our claim is Not true, then we…

Q: 1. What are the quotient and remainder when (a) -1 is divided by 3 (b) 3 is divided by 5 2. What are…

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Q: What is the greater of two consecutive negative integers whose product is132? Choose the correct.a.…

A: Let x and x+1 be two consecutive negative integers whose product is 132. But x is negative integer,…

Q: factors

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Q: Which polynomial is the greatest common divisor of X5 + 2X4 – X – 2 and X4 +2X³ + X + 2 in Q[X]?…

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Q: Evaluate the factorial expression.

A: 2n+1!2n!

Q: 10. Find the least nonzero integer a that makes v150a an integer.

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Q: The gcf of any two prime numbers is _____.

A: The gcf of any two prime numbers is _____.

Q: represent, 5 x 17=85, 5 x 29=145, 13 x 17=221 as a sum of two squares according to the formula n1 x…

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Q: x2 - 7x + 6 and x2 - 1

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Q: Find the factorization of n=13081 ?

A: Here 13081 is a prime number.

Q: Express the following using factorials: 16x15x14x13 5x4x3x2x1

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Q: 4. Find them if: (a) lcm of two consecutive positive integers is 812; (b) lcm of twin primes is 899.

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Q: How many of the calculations are prime factorizations of 1260? i. 14 x 30 x 3 ii. 7 x 60 × 3 iii. 42…

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