Polynomial Division — Cumulative exam Answers

The model represents the factorization of 2x2+5x+3.

What is the factorization of g3 – 125?

Martin has a combination of 33 quarters and dimes worth a total of $6. Which system of linear equations can be used to find the number of quarters, q, and the number of dimes, d, Martin has?

What is the factored form of the polynomial?z2 − 10z + 25

What is the factored form of the polynomial?x2 − 15x + 36

A rectangular bird feeder costs $18.00. A cylindrical bird feeder costs $24.00. The expected cost to keep the rectangular bird feeder filled is $3.00 per week. The expected cost the keep the cylindrical bird feeder filled is $2.00 per week. The equation below models the break-even point.18 + 3x = 24 + 2x What does x represent?

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 9924x3 + 44x − 54x2 − 994x(____) − 9(____)What is the common factor that is missing from both sets of parentheses?

The function f(x) is shown on the graph.

What is the simplified form of the following expression?

Armando used algebra tiles to represent the product .

Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

What is the product?(5r − 4)(r2 − 6r + 4)

The area of a square room in square units can be represented by 169x2y4. What is the perimeter of the room?

The function f(x) is shown on the graph.

Sandra bought 120 square feet of carpet for a room in her new house. If the room is square, what is the length of each side of the room?Recall that the area of a square is calculated by l2, where l is the length of one side.

Which function has a simplified base of 4?

What is the simplified form of the following expression?

Which expression is equivalent to ?

Which is a stretch of an exponential growth function?