Polynomial Division — Unit test

Question 1

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?

Revolt · Accepted Answer

2(8x2 – 13x +10)

Question 2

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.

Revolt · Accepted Answer

4x – 5

Question 3

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

Revolt · Accepted Answer

(3 – 7x2)(x – 3)

Question 4

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

Revolt · Accepted Answer

9x8; 25x12; 36x16

Question 5

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?

Revolt · Accepted Answer

x2 + 2

Question 6

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

Revolt · Accepted Answer

An algebra tile configuration. 9 tiles are in the Factor 1 spot: 1 is labeled + x and 8 are labeled +. 2 tiles are in the Factor 2 spot: 1 is labeled + x and 1 is labeled +. 18 tiles are in the Product spot: 1 is labeled + x squared, 9 are labeled + x, and 8 are labeled +.

Question 7

The diagram represents a difference of squares.

Revolt · Accepted Answer

(m – 6)(m + 6)

Question 8

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

Revolt · Accepted Answer

(x − 4)(x − 12)

Polynomial Division — Unit test Answers

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