Find and prove the minimum possible value of (a²bc+b?cd+c?da+d²ab)(ab²c+bc²d+cd²a+da?b)(abc²+bcd²+cda²+dab?) over all positive integers a, b, c, d, a363 c³d3 or show there is no minimum.

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Q: 3. Given the polynomials p1 = t3 – 2t2 + 1, p2 = t2 – 4, p3 = t3 + 2t, p4 = 5t. Does this set of…

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A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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Q: (A) 0 B) abc D 2abc -1 -a b с Evokate-2016 Evaluate-2a +4x 2b-4y 2c +42 x -Y

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: . Let a, b € Z so that 4a + 5b is a multiple of 13. Prove that 13 divides 9a + 8b.

A: We have to show that 13 divides 9a+8b To prove this we using 4a+5b divisible by 13

Q: Suppose a and b are positive integers and 2021 α 2022 2022 b 2023 If s is the minimum value of a+b,…

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Q: If β is a zero of x2 +x + 2 over Z5, find the other zero.

A: Given: The expression x2+x+2 over  Z5 has β as zero. To find: The other zero of the given…

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Q: Determine the definiteness of the following constrained quadratics: a) Q(x₁, x₂) = x² + 2x₁x2x2,…

A: Please see the attachment  According to the guidelines we are supposed to do one problem

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Q: The rationalisation factor of 2 /3, is a) 2-3 b) 2-V3 d) 2+3 ) V3-2 3.

A: Note:- As per our guidelines, we can answer the first of this problem as exactly one is not defined.…

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Q: If a, b, and c are non-negative real numbers that satisfy a + 3b + 2c = 3 and 3a + 3b + c = 4.…

A: We will first solve a + 3b + 2c = 3 and 3a + 3b + c = 4. So,    a+3b+2c=33a+3b+c=4Substitute…

Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

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Q: a3 and b Let a₁ a2 Determine whether b can be written as a linear combination of a₁, 32, and a3. In…

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Q: (2.1) Factor completely, if a polynomial cannot be factored, say so: a) 6 m*n – 9 m³ n²– 3 m² n³ b)…

A: Topic = Algebra

Q: ints) Check the definiteness of the following quadratic form; Q(x1,x2,x3) = 2xỉ + 3x3 – x + 5x1x3+…

A: Given that Qx1,x2,x3=2x12+3x22−x32+5x1x3+x2x3 is a quadratic form. It is required to check the…

Q: Help!! Answer correctly

A: Solution for the part aNow the solution for the part b is given below

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Q: 1. Compute the resultant of x – 3x* – 2r + 3x + 7x + 6 and x* +² + 1. Do polynomials have a common…

A: Given: To calculate the resultant of .

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Q: Given that -2 is zero of p(x) = x - 7x - 6, find the other zeros.

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