PCH Final Exam Sem. 1 Practice

Front

What is the formula for finding the quotient of two functions f(x) and g(x)?

Back

The quotient of two functions f(x) and g(x) is given by (g(x) / f(x)).

Front

If f(x) = x + 3 and g(x) = x - 2, what is (g(x) / f(x))?

Back

(g(x) / f(x)) = (x - 2) / (x + 3).

Front

How do you solve the equation 3^x = 1/9 for x?

Back

Convert 1/9 to a power of 3: 1/9 = 3^(-2). Therefore, x = -2.

Front

What is the tangent function in a right triangle?

Back

The tangent of an angle is the ratio of the opposite side to the adjacent side.

Front

If the opposite side is 32 and the adjacent side is 24, what is tanX?

Back

tanX = 32/24.

Front

What is polynomial long division?

Back

Polynomial long division is a method for dividing a polynomial by another polynomial of the same or lower degree.

Front

What is the remainder when dividing a polynomial by a linear factor?

Back

The remainder can be found using the Remainder Theorem, which states that the remainder of f(x) divided by (x - c) is f(c).

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that if a polynomial f(x) is divided by (x - c), the remainder is f(c).

Front

What is the result of dividing (4x^3 - 3x^2 - 4x + 2) by (x - 3)?

Back

The remainder is 71.

Front

How do you solve for n in an equation?

Back

Isolate n on one side of the equation using algebraic operations.