Factoring Trinomials: a = 1 Answers

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The model represents x2 – 9x + 14.

Question illustration
A
x – 9
B
x – 2
C
x + 5
D
x + 7
2
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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
3

What is the factored form of the polynomial?x2 − 12x + 27?

A
(x + 4)(x + 3)
B
(x − 4)(x + 3)
C
(x + 9)(x + 3)
D
(x − 9)(x − 3)
4

The binomial (a+5) is a factor of a2+7a+10. What is the other factor?

A
(a+2)
B
(a+5)
C
(a−2)
D
(a−5)
5

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)
6

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

Question illustration
A
6
B
8
C
12
D
24
7

The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor?

A
(y − 5)
B
(y + 5)
C
(y − 8)
D
(y + 8)
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

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.
10

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)

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