Factoring Trinomials: a > 1 Answers

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3

(3x – 2)(3x – 5)✔ (3x + 2)(3x + 5)(9x + 5)(x + 2)(9x + 10)(x + 1)

A
(3x – 2)(3x – 5)
B
✔ (3x + 2)(3x + 5)
C
(9x + 5)(x + 2)
D
(9x + 10)(x + 1)
80235

910✔ 2190

A
9
B
10
C
✔ 21
D
90
83460

Represent the quadratic polynomial 2x2 + x – 6 using algebra tiles and determine the equivalent factored form.

Answers:
The number of zero pairs needed to model this polynomial is .:3
The equivalent factored form is .:(2x – 3)(x + 2)
83461

✔ (2x – 3)(x + 2)(2x + 3)(x – 2)(2x + 2)(x – 3)(2x – 2)(x + 3)

A
✔ (2x – 3)(x + 2)
B
(2x + 3)(x – 2)
C
(2x + 2)(x – 3)
D
(2x – 2)(x + 3)
83462

Consider the trinomial 9x2 + 21x + 10.

Answers:
What value is placed on the bottom of the X?:21
Selection 2:(3x + 2)(3x + 5)
83463

Consider the trinomial 9x2 + 21x + 10.

Answers:
What value is placed on top of the X?:90
What value is placed on the bottom of the X?:21
Selection 3:(3x + 2)(3x + 5)
83465

Which statement is true of a rectangle that has an area of 4x2 + 39x – 10 square units and a width of (x + 10) units?

A
The rectangle is a square.
B
The rectangle has a length of (2x – 5) units.
C
The perimeter of the rectangle is (10x + 18) units.
D
The area of the rectangle can be represented by (4x2 + 20x – 2x – 10) square units.
83466

Determine if Ginny factored correctly. If not, explain where she made an error.

A
Ginny made a mistake in step 1 when she identified b = 31. It should be b = –31.
B
Ginny was correct until step 3 when she used 36 and –5 as the coefficients of x.
C
Ginny was correct until step 4 when she incorrectly factored the GCF from 5x – 30.
D
Ginny factored the trinomial correctly.

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