Division of Polynomials — Unit test Answers

Which expression is a difference of cubes?

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

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

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?

Solve for in the equation .

What are the values of x in the equation x2 – 6x + 9 = 25?

What is the cube root of

An egg is dropped from a height of 90 ft. If acceleration due to gravity is –16 ft/s2 and initial velocity is 0 ft/s, approximately how long will it take for the egg to reach the ground?h(t) = at2 + vt + h0

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 is the additive inverse of the expression below, where a and b are real numbers?

Which property of real numbers is shown below?

Dimitri is solving the equation x2 – 10x = 21. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?

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

What is the factored form of ?

Which expression shows the sum of the polynomials with like terms grouped together?