Factoring Polynomials: Difference of Squares — Unit test Answers

What is the product of (2p + 7)(3p2 + 4p – 3)?

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2+17x−175. The cost, in dollars, of producing the jeans can be modeled by 2x2−3x−125. The number of pairs of jeans that have been sold is represented by x. If the profit is the difference between the revenue and the cost, which expression can be used to find profit and what is that profit when 75 pairs of jeans are sold?

Which is a factor of x2 + 8x – 48?

Which are factors of x2 – 4x – 5? Select two options.(x – 5)(x – 4)(x – 2)(x + 1)(x + 5)

Adi used algebra tiles to represent the product .

Which monomials are perfect squares? Select three options.6x29x817x925x1236x16

What is the greatest common factor of 8x and 40y?

Which terms could have a greatest common factor of 5m2n2? Select two options.m5n55m4n310m4n15m2n224m3n4

Which term completes the product so that it is the difference of squares?(−5x−3)(−5x+________)

Which is the completely factored form of 4x2 + 28x + 49?

Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches.

Which model represents the factors of x2 + 9x + 8?

What is the factored form of the polynomial?x2 – 16x + 48

A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x2 – x + 200. The number of toy cars sold is represented by x.

Which expression is equivalent to 6x2 – 19x – 55?

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. Which expression can be used to find the perimeter of the rectangle and what is the perimeter if x = 4?

What is the difference of the polynomials?(8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)

The model represents a polynomial of the form ax2 + bx + c.