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Factoring Polynomials
writing polynomials
Domain / Hole
Horizontal Asymptotes
Vertical Asymptotes
100
Given that 3x-2 is a factor of f(x) = 48x^3-80x^2+41x-6, find all the polynomial's zeros.
what are x = 1/4. x = 3/4 and x=2/3
100
Find a polynomial such that 1(with multiplicity 3), -2, and 5 are zeros and also passes through the point (0, 5)
f(x)=0.5(x-1)^3(x+2)(x-5)
100
What is the domain of y= 1/(x+5)?
What is (-∞,-5) (-5,∞)?
100
What is the H.A. of y= 3x^3 / (x^3 +56)?
What is y=3?
100
What is the V.A. of 2 / x+6?
What is x=-6?
200
Given that 2x-1 is a factor of f(x) = 2x^3-15x^2+27x-10, find all the polynomial's zeros.
what are x=1/2, 5, and 2.
200
Find a polynomial with zeros at 2 and 3+i and a y-intercept of -10
What is f(x) = 0.5(x-2)(x-3+i)(x-3-i)
200
What is the hole of (x+3) (X-7) / (x+3) (x+5)?
What is (-3,-5)?
200
What is the H.A. of 2x^2 / 3x^3?
What is y=0?
200
What is the V.A. of (x^2-2x-35) / (x^2+12x+35)?
What is x=-7?
300
Find all the zeros of the polynomial: f(x) = x^3+11x^2+39x+29
what are x=-1 and -5+2i and -5-2i
300
Write a polynomial with zeros of 1/2, -1/2, and -2 (multiplicity of 2) and a y-intercept of -3
f(x) = 3(x-1/2)(x+1/2)(x+2)^2
300
What are the domain and holes of y= 2x^2 / x^2 + 4?
What is (-∞,∞) ; no hole?
300
What is the H.A. of y= 6x^5 / 26x^3?
What is there is no H.A.?
300
What is the V.A. of (x-4) / (3x^2-12x)?
What is x=0?
400
Find all the zeros of the polynomial f(x) = x^3+4x^2+14x+20 given that -1-3i is a zero.
-2 and -1+3i and -1-3i
400
Write a polynomial with zeros of -1, 2, and i that passes through the point (1,8)
f(x) = -2(x+1)(x-2)(x^2+1)
400
What are the domain and hole(s) of y= (x^2 + 3x) / (x^3 + 4x^2 + 4x)?
What is (-∞,-2) (-2,0) (0,∞); (0,0)?
400
What is the H.A. of y= (3x^3 - 5x + 78) / (5x^5 - 2)?
What is y= 0?
400
What is the V.A. of y= (x^2 + 3) / (x^3 + 4x^2 + 4x)?
What is x=-2 and x=0?
500
Find all the zeros of the polynomial: f(x) = 3x^3-4x^2+8x+8
what are -2/3 and 1+i*sqrt(3) and 1-i*sqrt(3)
500
Find a polynomial that has zeros of -2 and 2+2i(sqrt(2)) and passes through the point (-1,-34)
f(x) = -2(x+2)(x^2-4x+12)
500
What are the domain and hole (s) of y= (x^2 - x - 2) / (x^3 - 2x^2 - x + 2)?
What is (-∞,-1) (-1,1) (1,2) (2,∞) ; (-1, -1/2), and (2, 1)?
500
What is the H.A. of y= (x-3) (2x+1) / (3x-4) (2x+1)?
What is y= 1/3?
500
What is the V.A. of y= (x^2 - x - 2) / (x^3 - 2x^2 - x + 2)?
What is x=1 ?