
Quadratic Factoring UNW Assessment - for Advanced Algebra
Authored by Clifton Morrison
Mathematics
11th Grade
CCSS covered
Used 1+ times

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15 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Factor the expression x2+x-6
(x + 2)(x - 3)
(x - 3)(x + 2)
(x + 1)(x - 6)
(x + 3)(x - 2)
Answer explanation
To factor x2 + x - 6, we look for two numbers that multiply to -6 and add to 1. The numbers 3 and -2 fit this, so the expression factors to (x + 3)(x - 2). Thus, the correct answer is (x + 3)(x - 2).
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Factor the expression x2 - 5x + 6
(x - 1)(x - 6)
(x + 2)(x + 3)
(x - 2)(x - 3)
(x + 1)(x - 6)
Answer explanation
To factor x² - 5x + 6, we look for two numbers that multiply to 6 and add to -5. The numbers -2 and -3 fit this, so the expression factors to (x - 2)(x - 3). Thus, the correct choice is (x - 2)(x - 3).
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Factor the expression x2 + 4x + 3
(x + 2)(x + 2)
(x - 1)(x - 3)
(x - 2)(x + 3)
(x + 1)(x + 3)
Answer explanation
To factor x2 + 4x + 3, we look for two numbers that multiply to 3 and add to 4. The numbers 1 and 3 fit this, so the expression factors to (x + 1)(x + 3). Thus, the correct choice is (x + 1)(x + 3).
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Factor the expression x2 - x - 12
(x - 4)(x + 3)
(x + 4)(x - 3)
(x - 6)(x + 2)
(x + 6)(x - 2)
Answer explanation
To factor x2- x - 12, we look for two numbers that multiply to -12 and add to -1. The numbers -4 and 3 fit this, so we can write the expression as (x - 4)(x + 3). Thus, the correct choice is (x - 4)(x + 3).
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Completely factor the expression 2x2+18x
2x(x - 9)
x(2x + 18)
2(x2 + 9x)
2x(x + 9)
Answer explanation
To factor 2x² + 18x, first factor out the greatest common factor, which is 2x. This gives us 2x(x + 9). The correct choice is 2x(x + 9).
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Factor the expression x2 + 7x + 10
(x - 2)(x - 5)
(x + 2)(x + 5)
(x - 1)(x + 10)
(x + 1)(x + 10)
Answer explanation
To factor x² + 7x + 10, we look for two numbers that multiply to 10 and add to 7. The numbers 2 and 5 fit this, so the expression factors to (x + 2)(x + 5).
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Completely factor the expression 3x2 - 12x
x(3x - 12)
3x(x - 4)
3x(x + 4)
3(x2 - 4x)
Answer explanation
To factor 3x² - 12x, first factor out the greatest common factor, which is 3x. This gives 3x(x - 4). The correct choice is 3x(x - 4), as it is fully factored.
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