Division of Polynomials — Unit test Answers

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If x2 + mx + m is a perfect-square trinomial, which equation must be true?

x2 + mx + m = (x – 1)2

x2 + mx + m = (x + 1)2

x2 + mx + m = (x + 2)2

x2 + mx + m = (x + 4)2

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What is the completely factored form of x2 – 16xy + 64y2?

xy(x – 16 + 64y)

xy(x + 16 + 64y)

(x – 8y)(x – 8y)

(x + 8y)(x + 8y)

Solve for in the equation .

x = negative 4 plus-or-minus StartRoot 37 EndRoot i

x = –4 ± 5i

x = 4 plus-or-minus StartRoot 37 EndRoot i

x = 4 ± 5i

A student factors 10x2 + 3x – 27 to the following. (2x – 3)(5x + 9) Which statement about (2x – 3)(5x + 9) is true?

The expression is equivalent, and it is completely factored.

The expression is equivalent, but it is not completely factored.

The expression is not equivalent, but it is completely factored.

The expression is not equivalent, and it is not completely factored.

The length of a rectangle is three times the width. The area of the rectangle is 108 sq in. What is the width of the rectangle?

6 in.

9 in.

12 in.

36 in.

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