Which of the following are rational expressions? Vx + I (b) 2x + 3 x (x² – 1) 3x (a) x - 1 (c) x + 3

Q: Find the restrictions for the following rational expressions:

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Q: - Given f(x) = 2r - 5x + x - 7, a. Evaluate f(4). b. Determine the remainder when f(x) is divided by…

A: GIVENfx=2x4−5x3+x2−7

Q: Evaluate at the given value using synthetic division. f (a) = 2a – 13a² + 16a + 7 f (4)

A: We have given f(a).  We have to find f(4) by using synthetic division

Q: What will be the remainder of f(x) = 3x - 2x? - 5x - 6 if it is divided by x - 2? *

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Q: What is the Remainder R, when ƒ(x) = is divided by (x + 1)? 20 16 22 30 30 4x³ + x² - 3x + 2 3 =…

A: To find the remainder

Q: 1. Simplify the following Rational Expressions using factoring. a. Factor out GCF Factor by grouping…

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Q: Simplify the following expression by using factoring (5)(x² +3)² – (5x-1)(2)(x² +3)(2x) (x² +3)*…

A: (1) Simplify  the expression  (2) Find difference quotient

Q: Factor the following rational function: y= x2-3x+18/x2-8x+15

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Q: When pr – 32x2 – divided by (2x + 3). Find the value of p 10x +r is divided by (x- 2), the remainder…

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Q: Find the domain of f

A: Given: fx=4x-3x2-4. Here, fx is defined only when 4x-3≥0 and x2-4≠0. When 4x-3≥0, x≥34 When…

Q: The f3dx is 2 {A} -x-5/3 + C {C} 3x1/3 + C { B }x/3 + C {D}x5/3 + C

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Q: 4x2 + 21x + 54 -dx x² + 6x + 13

A: Given,            ∫4x2+21x+54x2+6x+13dx

Q: Given the following polynomial, p(x) = -5x³(x-9)²(9-x²)(5x-2)³(x² + 1) Fully factor p(x) and create…

A: The given polynomial function

Q: 10. (x² – 9) – (-2x² + 5x - 3) 11. (5 – 6d – d?) – (-4d - d2) 12. (-4x + 7) – (3x - 7)

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Q: Find all rational zeros of: f(x) = 2x* – 11r³ + 14a² – 11r + 12.

A: We need to find the rational zeros of the given polynomial.  By Rational zero theorem, a polynomial…

Q: Find the polynomial - 2x³-4x - 8 for the following values. (a)x=0 (b)x=5 (c) x = − 4 (a) The value…

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Q: Is x+ 4 a factor of f(x) = x5 + 10x4 + 29x3 – 28x2 (Use Synthetic Division in conjunction with the…

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Q: 1. Add the polynomials (8x³+4x-16)+(12x³ −3x²+14) =

A: (8x3-3x2+14)

Q: Perform the operation and simplify the rational expression. x- - 9 x² - 6x (a) (b) x x² - 36 +…

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Q: x² - 5x + 6 x² - 1 x² – 2x – 3 x² – 4

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