
Factoring Polynomials and Expressions

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in factoring the expression 7x + 21?
Apply the quadratic formula
Identify the difference of squares
Find the greatest common factor
Use synthetic division
Tags
CCSS.HSA.APR.C.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you factor x^2 - 25?
(x + 5)(x - 5)
(x + 25)(x - 1)
(x - 25)^2
(x + 5)^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When factoring a trinomial like x^2 + 11x + 30, what should you look for?
Two numbers that multiply to 30 and add to 11
Two numbers that multiply to 11 and subtract to 30
Two numbers that multiply to 11 and add to 30
Two numbers that multiply to 30 and subtract to 11
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the method called when you replace a variable to simplify factoring?
Synthetic division
Substitution
Completing the square
Trial and error
Tags
CCSS.HSA.APR.C.4
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to factor x^3 + 8?
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
a^2 + b^2 = (a + b)(a - b)
a^2 - b^2 = (a + b)(a - b)
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
Tags
CCSS.8.EE.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the cube root of 27x^3?
27x
9x
3x
x
Tags
CCSS.HSA.APR.D.6
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In synthetic division, what do you do if the remainder is zero?
The polynomial cannot be factored
The divisor is a factor
The divisor is not a factor
The polynomial is prime
Tags
CCSS.HSA.APR.C.4
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