AnswersFL-1200700-Mathematics for College Algebra MISFactoring Trinomials: a = 1

Factoring Trinomials: a = 1 Answers

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

Question illustration
A
6
B
8
C
12
D
24
2
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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)
3

Which expression is the factorization of x2 + 10x + 21?

A
(x + 3)(x + 7)
B
(x + 4)(x + 6)
C
(x + 6)(x + 15)
D
(x + 7)(x + 14)
4

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)
5

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
6

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)
7

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)
8

The model represents x2 – 9x + 14.

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

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)
10

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

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