hat e get 20. lim 1 x+2 19, lim 2 x+8 Au +1-3 9+h-3 22. lim 21. lim -2 h 1 1 (3+h) 3 3 24. lim 23. lim +t 25, Im - 26. lim 0 0 - 4x+4 4-x re 28. lim I2x .x 4 27. lim 16 16 - H) x2+9 5 29. lim 30. lim x t 4 (x+ h-x (x + h 31. lim 32. lim

Q: 3. Simplify, if possible: (a) x8(x) (b) x8(x - 1) (c) (x - 1)(x) (d) (x²+x+1)8(x − 1)

A:

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A:

Q: 1. Expand and simplify the following expressions a) (x + 1)(x + 3) c) 2(x – 1)(x – 2)

A: Topic = Algebra

Q: (6x - 30) >x + 3

A: 566x-30>x+3⇒566x-5630>x+3

Q: 3 1. (6 x ³ - x² - 32 x 20 x² + 5x + 8) = (2x-3) 2. (2x³-54) = (x-3)

A: I am attaching image so that you understand each and every step.

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A: Formula:

Q: I'm really confused with this type of question. Help please

A: The given polynomial, P and a constant value, c is,

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Q: 1. Identify the rule that justifies each step to simpl the expression. 2* (-4') a. = 24 (-4) %3D

A: Since we are given with multiple number of question with multiple subparts and our guideline is…

Q: I need help with this math problem

A: Known fact:

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A: -bx-by+x+y

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A:

Q: When doing calculus problems, how would I identify that I should do long division of polynomials in…

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Q: Find the factors of the polynomial: 25b² – 144a?

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Q: I don't understand how (1+2+.....+k)^2=(k(k+1)/2))^2. Please explain. Thank you

A:

Q: 10) If the voltage, V, in an electric circuit is held constant, the current, I, is inversely…

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Q: 3 The degree of polynomial = The coefficient of x4 i. ii. iii. Constant term =

A: This is a problem of Number Theory.

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Q: Can you show me how to factor 3x3/2-9x1/2+6x-1/2 into 3x-1/2(x-1)(x-2)?

A: Factor the given expression to get a simplified expression as,

Q: (3x+4) (2x+4)     but with each as a radical.    Is it possible to multiply each if they are a…

A: Yes, you can multiply them if they are radical by using this basic law of radicals:

Q: What is the remainder when f(x) = x³ - 2x2 + 4x -21 is divided by x - 3. Is x - 3 a factor or not?…

A:

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

A: (8x3-3x2+14)

Q: What is the coefficient of x9 in (x + 2)¹5?

A: Solution :- x+215Apply binomial theorem:  a+bn=∑i=0nnian-ibia=x,  b=2=∑i=01515ix15-i· 2iExpand…

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Q: What is the coefficient of x12 in (x+2)14?

A: Given expression is,

Q: 1) a) b) Factor the following: 8 1 64 27 f(x) = x - 2x³-13x² + 38x-24 -

A: