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A: The polynomial division is checked by multiplying the divisor with the quotient and then we add the…
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A: Topic:- algebra
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A: We can solve this as follows:
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A:
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A: The given question is solved below.
Q: Use a Special Factoring Formula to factor the expression. 1 + 1000y3
A: By using formula a³ - b³ = (a-b) (a² +ab + b²)
Q: Without actual division,Find the remainder obtained on dividing (3x2+5x-9) by (3x+2)
A: Given: 3x2+5x-9 On dividing by : (3x+2): Solution:…
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A: Given that 25÷89. The above problem should have solved as follows. 25÷89=25×98=215×984=920
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A: Consider the following expression:…
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A: The given expression, 7z2-4z-3
Q: Without actual division , find the remainder obtained on dividing (3x² + 5x – 9) by (3x +2)
A:
Q: (6x - 30) >x + 3
A: 566x-30>x+3⇒566x-5630>x+3
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A: Fermat’s Factorization method is based on the representation of an odd integer as the difference of…
Q: What is factoring of polyminioal is called ?
A:
Q: Factor. 8x3- 125 O (4x + 5)(2x2- 5x + 25) O (2x- 5)(4x2+ 10x + 25) O • (8x + 5)(x² - 5) C. O (2x-…
A:
Q: use the difference-of-squares pattern to factor each of the following. 49a2 - 36b2
A: Given expression is 49a2-36b2
Q: 12ax-21ay-18bx +14by factor by grouping
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Q: how would i multiply these polynomials? what would i have to do to get my answer?
A: Just multiply the two polynomials.
Q: State the Complete Factorization Theorem.
A:
Q: By factorising x3+1, show that (for suitable values of x) 1/(x2-x+1) = ∑∞n=0 (-1)n x3n+ ∑∞n=0 (-1)n…
A: The given question is solved below.
Q: use the sum-of-two-cubes or the difference-of-two-cubes pattern to factor each of the following. 8a3…
A: 8a3 - 125b3 Formula m3-n3=(m-n)(m2+mn+n2)
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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: use the sum-of-two-cubes or the difference-of-two-cubes pattern to factor each of the following.…
A: We have to factor the expression: 27a3-8 Rewriting the expression, 27a3-8=3a3-23 We know the…
Q: Factor 8m-6m². .….......
A: Given: 8m-6m2
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A:
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: use the sum-of-two-cubes or the difference-of-two-cubes pattern to factor each of the following. 8a3…
A: We have to factor the polynomial: 8a3-1 Rewriting the polynomial, 8a3-1=2a3-13 We know the identity…
Q: Show all work to factor x4 - 5x2 + 4 completely.
A:
Q: Use FOIL to express ab + ac + db + dc in factored form as a product.
A: To find factors of ab+ac+db+dc
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Q: use the sum-of-two-cubes or the difference-of-two-cubes pattern to factor each of the following. x6…
A: To use the sum-of-two-cubes or the difference-of-two-cubes pattern to factor the following,…
Q: if two even integers are multiflied, then the product is also even
A: Ans. True
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A:
Q: Without actual division ,find the remainder obtained on dividing (3x2+5x-9) by (3x+2)
A: Find the solution below
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A:
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Q: What are three possible products whose factors multiply to -2
A: To find The three possible product whose factors are multiply to -2.
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A: You have done it correct but instead of writing -2w it will be -20w. When anything is given of the…
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Q: Based on the factor theorem, a factor of x4 - 5x2 + 4 is:
A: Introduction: When factoring polynomials completely, the factor theorem is used in mathematics. It…
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A:
Q: Use Fermat method to factorize 4171.
A:
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Q: Can someone explain rank factorization and how to carry it out with an example?
A: In mathematics, given an m × n matrix A of rank r, a rank decomposition or rank factorization of A…
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Q: use the sum-of-two-cubes or the difference-of-two-cubes pattern to factor each of the following. 1 -…
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Q: Hello, I want to factorise -x^3 +36x^2 -405x +1458
A: We have to factorise
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- When we divide a polynomial P(x) by a divisor D(x), the Division Algorithm tells us that we can always obtain a quotient Q(x) and a remainder R(x). State two forms in which the result of this division can be written.Find the g.c.d of the numbers 2,045 and 910 using Euclidian Algorithm.When we multiply 38 × 73 using the standard algorithm, we start the second row by writing a zero, as shown at the right. Explain why we put the zero in the second line.
- What is the largest n for which one can solve within 3 minutes a problem using an algorithm that requires f(n) bit operations, where each bit operation is carried out in 10-12seconds, with these functions of n?You may have been surprised to read (in Thm. 2.12) that for any two integers there is going to be a greatest common divisor which can be written as a linear combination of the two values. In essence, what this says is that since the divisor divides both numbers, there is going to be some combination of multiples of the two that adds up to the divisor. For example, for the numbers 6 and 8, the greatest common divisor is 2 AND 2 = 3(6) + -2(8). Now, I could find that by looking at multiples until a find a combo that would add to 2. That would look like the following. 6 … 12, 18, 24, … 8 … 16, 24 What I would notice is that the 18 and 16 are 2 apart, which means I only need to use some positives and negatives for the coefficients. (This reminds me a lot of the hunt and peck form of factoring we sometimes teach students.) The power of this linear combination is that it gives us a way to write the divisor in terms of the original values we were given. That’s helpful. Which brings us to the…Suppose you have 13 Physics texts, 7Computer Science texts, and 9 Math texts. How many different ways can you select 4 of each to take with you on vacation? Express the answer to the combination problem using combination notation (Ckn)and numerically.
- In Fermat's Factorization method, why does n = ab can be transformed to ?What is the quotient (q) and the remainder (r) when a is divided by b in theDivision Algorithm a = −144, b = 7a = 1,089, b = 33Suppose you have two egg-timers (hour-glasses) — one measures in 32-minute intervals, and the other measures in 12-minute intervals. • Use the extended Euclidean algorithm to obtain an equation that explains how you could time a 8 minute egg with these two timers
- Use the extended Euclidean algorithm to find the greatest common divisor of the given numbers and express it as the following linear combination of the two numbers: 4,381s + 1,651t, where s = ? and t = ?V. Determine the greatest common divisors of each pair of numbers using Euclidean algorithm. Show your solutions.16. (512, 1,200) 17. (1,001, 1,331) 18. (1,000, 5,040) 19. gcd(111, 201) 20. gcd(1,234, 4,321)gcdf0(1,234, 4,321)Find the GCD of 284 and 40 using the Euclidean Algorithm.