AnswersMathematics IIFactoring Trinomials: a = 1

Factoring Trinomials: a = 1 — Quiz Answers

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What is the factored form of the polynomial? x squared minus 12 x plus 27 ?

A
open paren x minus 4 close paren times open paren x plus 3 close paren
B
open paren x minus 9 close paren times open paren x minus 3 close paren
C
open paren x plus 4 close paren times open paren x plus 3 close paren
D
open paren x plus 9 close paren times open paren x plus 3 close paren
3

A rectangle has an area of k squared plus 19 k plus 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 width of the rectangle is k plus 4 inches.
B
The length of the rectangle is k minus 5 inches.
C
The length of the rectangle is k minus 20 inches.
D
The width of the rectangle is k plus 10 inches.
4

What are the factors of m squared minus 12 m plus 20 ?

A
open paren m minus 9 close paren and open paren m minus 3 close paren
B
open paren m minus 10 close paren and open paren m minus 2 close paren
C
open paren m minus 14 close paren and open paren m minus 6 close paren
D
open paren m minus 5 close paren and open paren m minus 4 close paren
5

Which expression is equivalent to n squared plus 26 n plus 88 for all values of n ?

A
open paren n plus 4 close paren times open paren n plus 24 close paren
B
open paren n plus 4 close paren times open paren n plus 22 close paren
C
open paren n plus 8 close paren times open paren n plus 18 close paren
D
open paren n plus 8 close paren times open paren n plus 11 close paren
6

Ms. Wilson draws a model of the factorization of a polynomial with integer factors. Her model is partially complete. n n squared 5 5 n 40 Which equation is represented by Ms. Wilson’s model?

A
n squared plus 40 n plus 13 is equal to open paren n plus 8 close paren times open paren n plus 5 close paren
B
n squared plus 3 n plus 40 is equal to open paren n minus 8 close paren times open paren n minus 5 close paren
C
n squared plus 40 n plus 3 is equal to open paren n minus 8 close paren times open paren n minus 5 close paren
D
n squared plus 13 n plus 40 is equal to open paren n plus 8 close paren times open paren n plus 5 close paren
7

The binomial (x+5) is a factor of x^2+7⁢x+10 What is the other factor?

A
open paren x minus 2 close paren
B
open paren x plus 2 close paren
C
open paren x minus 5 close paren
D
open paren x plus 5 close paren
8

Which expression is the factorization of x squared plus 10 x plus 21 ?

A
open paren x plus 6 close paren times open paren x plus 15 close paren
B
open paren x plus 7 close paren times open paren x plus 14 close paren
C
open paren x plus 4 close paren times open paren x plus 6 close paren
D
open paren x plus 3 close paren times open paren x plus 7 close paren
9

Which are perfect square trinomials? Choose two correct answers.

A
x squared plus 10 x plus 25
B
x squared minus 9
C
x squared minus 100
D
x squared plus 15 x plus 36
E
x squared minus 4 x plus 4
10

Bailey writes the expression g squared plus 14 g plus 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
open paren g minus 4 close paren times open paren g minus 10 close paren
B
open paren g minus 4 close paren times open paren g plus 10 close paren
C
open paren g plus 4 close paren times open paren g plus 10 close paren
D
open paren g plus 4 close paren times open paren g minus 10 close paren

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