Factor Trinomials by Grouping
Authored by Anthony Clark
Mathematics
12th Grade
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12 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
To factor 3x2 + 14x + 8, find the 2 clue numbers first. Then, use the clue numbers to find the 2 numbers we will use for "bx".
the 2 numbers that multiply to 24 and add to 14 are 6 and 4.
the 2 numbers that multiply to 24 and add to 14 are 24 don't exist.
the 2 numbers that multiply to 24 and add to 14 are 2 and 12.
3.
MULTIPLE SELECT QUESTION
1 min • 1 pt
To factor 5x2 -13x + 6, write the middle term using the 2 numbers that multiply to ___ and add to ___, make sure to include the "x". Write it like this:
30; -13; 5x2 - 10x - 3x + 6
30; -13; 5x2 - 2x - 15x + 6
30; -13; 5x2 - 3x - 10x + 6
30; -13; 5x2 + 2x + 15x + 6
4.
REORDER QUESTION
1 min • 1 pt
Factor 5x2 -13x - 6
Make 2 groups and factor out the GCF from each group.
5x( x - 3) + 2(x - 3)
Write the binomial factors.
(5x + 2)(x - 3)
The 2 numbers are -15 and 2, so use these to break up -13x.
5x2 -15x + 2x + 6
First, find 2 numbers that multiply to -30 and add to -13.
a⋅c = 5⋅-6 = -30
b = -13
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What 2 numbers should go in the blanks instead of the "bx" term?
The 2 numbers that multiply to 8 and add to -7, which are 8 and -1.
The 2 numbers that multiply to -8 and add to -7, which are -8 and -1.
The 2 numbers that multiply to -8 and add to -7, which are -8 and 1.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What formula do we use to identify the "a", "b", and "c" when factoring?
ax2 +bx + c
ax2 +cx + b
bx2 +ax + c
cx2 +bx + a
7.
REORDER QUESTION
1 min • 1 pt
What are the factors of 7x2 + 16x + 4?
The numbers are 14 and 2, so use these to break apart 16x.
7x2 + 14x + 2x + 4
First find the 2 numbers that multiply to 28 and add to 16.
a⋅c = 7⋅4 = 28
b = 16
Make 2 groups and factor out the GCF from each group.
7x(x + 2) + 2(x + 2)
Write the 2 binomial factors.
(7x + 2) (x + 2)
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