Algebra 2

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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

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

What is the remainder when (3x3 - 2x2 + 4x - 3) is divided by (x2 + 3x + 3)?

D. 28x + 30

If f(x)=3x^2 and g(x)= 4x^3+1 , what is the degree of (F*G)(X)

D. 6

For which pairs of functions is (f*g)(x)=12x

D. f(x) = 4x and g(x) = 3x

What is the difference of the polynomials? (12x^2-11y^2-13x)-(5x^2-14y^2-9x)

a

What is the quotient (x3 - 3x2 + 3x - 2) ÷ (x2 - x + 1)?

a

Use the Binomial theorem to expand and where possible simplify the expression. (1+sqrt3)^4+(1-sqrt3)^4

b. 56

What is the sign of the second term of the expansion of (x - y)n for n = 3, 4, and 5?

b. negative

What is the completely factored form of x2 - 16xy + 64y2?

c

If h(x) is the inverse of f(x), what is the value of h(f(x))?

c x

Find the seventh term of the expansion of (3x+7y)^11

c.

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

A student factors 10x2 + 3x - 27 to the following.

A

Find the seventh term of the expansion of (-3x-2y)^11

A

If a(x) and b(x) are linear functions with one variable, which of the following expressions produces a quadratic function?

A

If f(x)=1/9x-2, what is f^-1(x)?

A

If r(x) = 2 - x2 and w(x) = x - 2, what is the range of mc016-1.jpg?

A

If s(x) = 2 - x2 and t(x) = 3x, which value is equivalent to

A

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

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

Subtract 15mn - 22m +2n from 14mn - 12m +7n.

A, -mn + 10m + 5n

What is the completely factored form of 12xy - 9x - 8y + 6?

A. (3x - 2)(4y - 3)

If c(x) = 4x - 2 and d(x) = x2 + 5x, what is (c*d)(x)?

A. 4x3 + 18x2 - 10x

Find the seventh term of the expansion of (4x-2y)11

B

Randy divides (2x4 - 3x3 - 3x2 + 7x - 3) by (x2 - 2x + 1) as shown below. What error does Randy make?

B

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

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

What is the product (4x)(-3x^8)(-7x^3)

C

Which statement about -2h2 - 15h - 7 is true?

C

What is the remainder when (x4 + 36) is divided by (x2 - 8)?

C 100

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.

If f(x)=7+4x and g(x)=1/2x What is the value of (f/g)(5)?

D

What expression is equivalent to (5z^2+3z+2)^2

D

What is the missing term? (10x - 4x2) - (7x + ____) = 3x - 6x2

D

Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)

D


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