# Algebra 2

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What is the sign of the second term of the expansion of (x - y)n for n = 3, 4, and 5?
b. negative
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Find the seventh term of the expansion of (3x+7y)^11
c.
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Use the Binomial theorem to expand and where possible simplify the expression. (1+sqrt3)^4+(1-sqrt3)^4
b. 56
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Find the seventh term of the expansion of (4x-2y)11
B
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Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)
D
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For which pairs of functions is (f*g)(x)=12x
D. f(x) = 4x and g(x) = 3x
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If f(x) = x2 - 25 and g(x) = x - 5, what is the domain of mc006-1.jpg?
B. all real values of x except x = 5
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Calculate the sum of the numbers in each row of Pascal's triangle for n = 0 to 5.
d. 1, 2, 4, 8, 16, 32
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Dylan uses the expressions (x2 - 2x + 8) and (2x2 + 5x - 7) to represent the length and width of his bedroom. Which expression represents the area (lw) of Dylan's room?
C.
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If r(x) = 2 - x2 and w(x) = x - 2, what is the range of mc016-1.jpg?
A
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Subtract 15mn - 22m +2n from 14mn - 12m +7n.
A, -mn + 10m + 5n
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The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of mc014-1.jpg?
C. x mc014-6.jpg 2 and x cannot be any value for which v(x) mc014-7.jpg 0
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If f(x)=3x^2 and g(x)= 4x^3+1 , what is the degree of (F*G)(X)
D. 6
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What is the remainder when (3x3 - 2x2 + 4x - 3) is divided by (x2 + 3x + 3)?
D. 28x + 30
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What is the completely factored form of 12xy - 9x - 8y + 6?
A. (3x - 2)(4y - 3)
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The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?
C
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Which statement about -2h2 - 15h - 7 is true?
C
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The volume of a cylinder is given by the formula mc023-1.jpg, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x + 8) and height (2x + 3). Which expression represents the volume of the can?
C
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Vanessa uses the expressions (3x2 + 5x + 10) and (x2 - 3x - 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessa's patio?
A
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If f(x)=1/9x-2, what is f^-1(x)?
A
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Randy divides (2x4 - 3x3 - 3x2 + 7x - 3) by (x2 - 2x + 1) as shown below. What error does Randy make?
B
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If c(x) = 4x - 2 and d(x) = x2 + 5x, what is (c*d)(x)?
A. 4x3 + 18x2 - 10x
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What is the missing term? (10x - 4x2) - (7x + ____) = 3x - 6x2
D
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If f(x)=7+4x and g(x)=1/2x What is the value of (f/g)(5)?
D
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If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?
A
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A student factors 10x2 + 3x - 27 to the following.
A
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If s(x) = 2 - x2 and t(x) = 3x, which value is equivalent to
A
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Find the seventh term of the expansion of (-3x-2y)^11
A
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What is the remainder when (x4 + 36) is divided by (x2 - 8)?
C 100
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What is the product (4x)(-3x^8)(-7x^3)
C
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Which function has an inverse that is also a function? g(x) = 2x - 3 k(x) = -9x2 f(x) = |x + 2| w(x) = -20
A
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What is the completely factored form of x2 - 16xy + 64y2?
c
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If h(x) is the inverse of f(x), what is the value of h(f(x))?