The Binomial Theorem — Unit test Answers

The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

If the function has an inverse function, which statement must be true?

What is the completely factored form of ?

If and , what is the degree of ?

Which function is the inverse of ?

The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). If area = length × width, what is the length of the rectangle?

Anja divides (8x3 – 36x2 + 54x – 27) by (2x – 3) as shown below. What error does Anja make?

The volume of a rectangular prism is given by the formula V = lwh, where l is the length of the prism, w is the width, and h is the height. Which expression represents the volume of the following rectangular prism?

What are the coefficients for the binomial expansion of (a + b)3?

The side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube?

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?

Which statement about the simplified binomial expansion of (a + b2)n, where n is a positive integer, is true?

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 ?

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

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?

The length of a rectangular field is represented by the expression . The width of the field is represented by the expression . How much greater is the length of the field than the width?

Holly finds that (11m – 13n + 6mn) – (10m – 7n + 3mn) = m – 20n + 9mn. What error did Holly make?

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ?

What is the ninth term in the binomial expansion of (x – 2y)13?