Factoring Trinomials: a > 1 Answers
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1
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Which expressions represent a perfect square monomial and its square root? Check all that apply.121; 114x2; 2x9x2 – 1; 3x - 125x; 5x49x4; 7x2
A
121; 11B
4x2; 2xC
9x2 – 1; 3x - 1D
25x; 5xE
49x4; 7x21
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Which board geometrically represents 4x2 – 1 using algebra tiles?
A
[Image: An algebra tile configuration showing only the pro...]
B
[Image: An algebra tile configuration showing only the pro...]
C
[Image: An algebra tile configuration showing only the pro...]
D
[Image: An algebra tile configuration showing only the pro...]
1
(x – 72)✔ (x – 12)(x + 36)(x + 144)
A
(x – 72)B
(x – 12)C
(x + 36)D
(x + 144)1
✔ –16–101
A
–16B
–1C
0D
11
Use the formula a2 – b2 = (a + b)(a – b) to factor completely.What are the factors of 36x8 – 49?
A
(9x4 – 1)(4x2 + 49)B
(36x4 – 7)(x2 + 7)C
(6x4 – 7)(6x4 + 7)D
(6x8 – 7)(6x + 7)1
Which expression represents the area of the remaining paper shape in square centimeters?
A
(x – 7)(x – 9)B
(3x – 2)(3x – 8)C
(3x – 4)(3x + 4)D
(9x – 1)(x + 16)1
Analyze Cecile’s work. Is it correct?
A
No, adding in 0x keeps an equivalent polynomial.B
No, she did not fill in the X correctly. She should have 16 on top and –9 on the bottom.C
No, 16x6 + 12x3 – 12x3 – 9 is not equivalent to 16x6 – 9.D
Yes, Cecile factored the polynomial correctly.1
2✔ 4 816
A
2B
4C
8D
161
X 1✔ 24
A
X 1B
2C
42
(x – 4)(x – 1)(x + 2)✔ (x + 12)
A
(x – 4)B
(x – 1)C
(x + 2)D
(x + 12)2
–16–1✔ 01
A
–16B
–1C
0D
12
The equivalent factored form of x2 – 16 is .
A
(x – 16)(x + 1)B
(x – 4)(x – 4)C
(x + 4)(x + 4)D
(x – 4)(x + 4)2
1✔ 39
A
1B
3C
93
–16 and 1–8 and 2✔ –4 and 4–1 and 16
A
–16 and 1B
–8 and 2C
–4 and 4D
–1 and 163
1✔ 2X 4
A
1B
2C
X 44
(x – 16)(x + 1)(x – 4)(x + 4) ✔ (4x– 1)(4x+ 1)(x – 1)(16x + 1)
A
(x – 16)(x + 1)B
(x – 4)(x + 4)C
(4x– 1)(4x+ 1)D
(x – 1)(16x + 1)4
1✔ 39
A
1B
3C
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