Unit Test Answers

The polynomial 2x3 − 5x2 + 4x − 10 is split into two groups, 2x3 + 4x and −5x2 − 10. The GCFs of each group is then factored out. What is the common binomial factor between the two groups after their GCFs have been factored out?

Which will result in a difference of squares?

Simplify the expression –2(p + 4)2 – 3 + 5p. What is the simplified expression in standard form?

What is the sum of the polynomials?(7x3 – 4x2) + (2x3 – 4x2)

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?

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.

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression?

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

Adi used algebra tiles to represent the product .

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

The table represents the multiplication of two binomials.

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

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

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

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.

The expression 40x2 – 65x + 50 represents the sum of the interior angles of a regular pentagon in degrees. If the interior angles of the pentagon are equal, which expression represents the measure of two angles?

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

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?

The formula for the area of a parallelogram is A = bh, where b is the base and h is the height.

Which shows a perfect square trinomial?

Which shows one way to determine the factors of x3 + 5x2 – 6x – 30 by grouping?

Factor x3 – 4x2 + 7x – 28 by grouping. What is the resulting expression?

Which products result in a perfect square trinomial? Select three options.