Factoring Trinomials: a = 1 Answers

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1
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The model represents a polynomial and its factors.

Question illustration
A
x2 – 2x – 3 = (x – 3)(x + 1)
B
x2 – 4x + 3 = (x – 3)(x – 1)
C
x2 + 2x + 3 = (x + 3)(x – 1)
D
x2 + 4x – 3 = (x + 3)(x + 1)
2
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What are the factors of m2 – 12m + 20?

A
m – 14 and m – 6
B
m – 10 and m – 2
C
m – 9 and m – 3
D
m – 5 and m – 4
3

A rectangle has an area of k2 + 19k + 60 square inches. If the value of k and the dimensions of the rectangle are all natural numbers, which statement about the rectangle could be true?

A
The length of the rectangle is k – 5 inches.
B
The width of the rectangle is k + 4 inches.
C
The length of the rectangle is k – 20 inches.
D
The width of the rectangle is k + 10 inches.
4

The diagram represents the factorization of a2+8a+12.

Question illustration
A
6
B
8
C
12
D
24
5

Ms. Wilson draws a model of the factorization of a polynomial with integer factors. Her model is partially complete. Which equation is represented by Ms. Wilson’s model?

Question illustration
A
n2 + 3n + 40 = (n – 8)(n – 5)
B
n2 + 13n + 40 = (n + 8)(n + 5)
C
n2 + 40n + 13 = (n + 8)(n + 5)
D
n2 + 40n + 3 = (n – 8)(n – 5)
6

Which are perfect square trinomials? Select two options.

A
x2 − 9
B
x2 −100
C
x2 − 4x + 4
D
x2 + 10x + 25
E
x2 + 15x + 36
7

Which expression is equivalent to n2 + 26n + 88 for all values of n?

A
(n + 8)(n + 11)
B
(n + 4)(n + 22)
C
(n + 4)(n + 24)
D
(n + 8)(n + 18)
8

What is the factored form of the polynomial?x2 + 9x +20

A
(x − 4)(x − 5)
B
(x − 2)(x − 10)
C
(x + 4)(x + 5)
D
(x + 2)(x + 10)
9

The diagram represents the factorization of x2 – 9x + 18. It is partially completed. Which two terms are missing from the diagram?

Question illustration
A
–x and –8x
B
–2x and –7x
C
–3x and –6x
D
–4x and –5x
10

Bailey writes the expression g2 + 14g + 40 to represent the area of a planned school garden in square feet. What factors can be used to find the dimensions of her garden?

A
(g−4)(g−10)
B
(g+4)(g+10)
C
(g+4)(g−10)
D
(g−4)(g+10)

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