Suppose that for polynomials J1/ 2J 3 over a field F the polynomial f is irreducible. Which is true about fif2f3? If f divides fif2f3 then f must A divide one of the three, f1f2 or f3 If f divides fifəf3 then it also divides В the sum fi +f2+f3 • If f divides fıf2f3 then f1,f 2,f3 are all irreducible B

Q: Can someone answer all of these polynomials?

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Q: 5) If you know the roots for a polynomial are x = -3, 1, and 2   which of the following could be the…

A: Given: If you know the roots for a polynomial are x = -3, 1, and 2 which of the following could be…

Q: 2х1 + 3х, — хз — 2 Зх1 — 2х2 + хз — —1 = -1 — 5х1 — 4х2 + 2xз — 3

A: Given that  The system of equations  To find the solution of system of equations by using cramers…

Q: Determine integers x and y such that (а) gcd(51, 288) — 51х + 288у (b) gcd(357, 629) = 357x + 629y

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Q: Given the polynomial f(x) = -2x7 + 4x³ + 4.x³ following) а) 10 determine the end behavior of f…

A: see the attached file for a step-by-step explanation of end of the behavior of a function 'f'.

Q: 2. Prove that if a, b e R, then (a) -(a + b) = (-a) +(-b), (c) 1/(-a) = –(1/a), (b) (-a)·(-b) = a ·…

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Q: Let ā= (2, 5, 7) and 6 = (1, 3, 4). (a - b) × (a + b) = X (3,16,33) X

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Q: f(x)-5x°+x"-5xーメー10x-2 i is a rot of fax) Write as a poduct Of ineducible polynamials in QaJ, Ros,…

A: We are given a fifth degree polynomial fx=5x5+x4-5x3-x2-10x-2. First we have to find the roots of…

Q: F6 onal Academy of Science. All Rights Reserved. * Simplify. 21x²y 75xy5 F7 [?] [ ]y] F F8 DELL F9…

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Q: What is the coefficient What is the coefficient of rx3x3 in (x₁ + x2 + x3 − x4 - x5)⁹? 1 13 of 2¹3…

A: To find the coefficient of x14 x32 x43 in (x1+x2+x3-x4-x5)9 we will use binomial theorem.  The…

Q: Prove that (p – q)× (p+q)= 2(p×q)

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Q: Choose the polynomial that is written in standard form. A7x + 8x8+2 7x -3x¹y + 2x²y² + 5y³ 10xy +…

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Q: Find iterpolation polynomial p2(x) = ax² + bx + c that passess through the points: (0,7), (1,12),…

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Q: Use the inner product (o, 9) = 2obo +a1b1 +a2b2 to find o, 9), |P||- |||, and d(p, a) for the…

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Q: Let A = B = C = {x 1 x is a real number}. Let f: A → B and g: B → C be defined as follows: f(a) 2a…

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Q: 7 Quadratic polynomial factors should be typed as (x^2+ax+b)(x^2+cx+d)( :) Factor f(x) = x¹-2x³-x² -…

A: Ok