Polynomial Division — Unit test Answers

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5

Which is a factor of x2 + 8x – 48?

A
(x – 6)
B
(x + 4)
C
(x – 16)
D
(x + 12)
6

Which binomial is a factor of 9x2 – 64?

A
3x – 8
B
9x – 32
C
3x + 32
D
9x + 8
9

How could Brent use a rectangle to model the factors of x2 – 7x + 6?

A
He could draw a diagram of a rectangle with dimensions x – 3 and x – 4 and then show the area is equivalent to the sum of x2, –3x, –4x, and half of 12.
B
He could draw a diagram of a rectangle with dimensions x + 7 and x – 1 and then show the area is equivalent to the sum of x2, 7x, –x, and 6.
C
He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.
D
He could draw a diagram of a rectangle with dimensions x – 4 and x + 3 and then show the area is equivalent to the sum of x2, –4x, 3x, and half of –12.
11

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

A
x2(4x + 1) – 2(4x + 1)
B
x2(4x – 1) + 2(4x – 1)
C
4x2(x + 2) – 1(x + 2)
D
4x2(x – 2) – 1(x – 2)
12

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

A
(2x – 11)(3x + 5)
B
(2x + 11)(3x – 5)
C
(6x – 11)(x + 5)
D
(6x + 11)(x – 5)
14

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?

A
The side length was increased by 5.
B
The side length was multiplied by 5.
C
The side length was increased by 10.
D
The side length was multiplied by 10.
16

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

Question illustration
A
3x2 – 4x – 1 = (3x + 1)(x – 1)
B
3x2 – 2x – 1 = (3x – 1)(x + 1)
C
3x2 – 4x + 1 = (3x – 1)(x – 1)
D
3x2 – 2x + 1 = (3x – 1)(x – 1)
17

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

A
(x2 – 7)(x – 5)
B
(x2 – 7)(x + 5)
C
(x2 – 5)(x – 7)
D
(x2 + 5)(x – 7)
18

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

A
(x + 7)(4x + 7)
B
4(x + 7)(x + 7)
C
(2x + 7)(2x + 7)
D
2(x + 7)(x + 7)
20

The partial factorization of x2 – x – 12 is modeled with algebra tiles.

Question illustration
A
3 negative unit tiles
B
3 positive unit tiles
C
4 negative unit tiles
D
4 positive unit tiles

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