Factorization of Polynomials: Using Identities to Simplify Expressions

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Mathematics
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10th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does factorization involve when applied to numbers?
Dividing the number by its factors
Calculating the product of the factors
Subtracting the factors from the number
Finding the sum of the numbers
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which identity is used to derive the identity for the square of a trinomial?
a squared minus b squared
a plus x multiplied by a plus y
a plus b the whole squared
a minus b the whole squared
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can a plus b the whole cube be expressed using identities?
a squared minus b squared
a cubed minus b cubed
a squared plus b squared plus 2ab
a cubed plus 3a squared b plus 3ab squared plus b cubed
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which identity is used to solve the expression 3a squared minus 1 by 9?
Identity 1
Identity 2
Identity 4
Identity 3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of using identity 4 on the expression 1003 multiplied by 1006?
1000 squared minus 3 minus 6
1000 cubed plus 3 cubed
1000 squared plus 3 squared plus 6 squared
1000 squared plus 3 plus 6 multiplied by 1000 plus 3 into 6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which identity is used to factor the expression 16x squared plus 24x plus 9?
Identity 6
Identity 5
Identity 7
Identity 1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you be careful about when expanding expressions using identity 7?
The order of terms
The coefficients of terms
The signs while multiplying square and cube terms
The variables used
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