Factoring a trinomial to the fourth power using the ac method

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Mathematics
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9th - 10th Grade
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in factoring a trinomial?
Check for common factors and variables
Use the quadratic formula
Apply the AC method
Divide by the leading coefficient
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the AC method help determine when factoring a trinomial?
The roots of the equation
The greatest common factor
The side lengths of a rectangle representing the factors
The sum of the coefficients
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When using the AC method, what must the two numbers do?
Multiply to give the product of the first and last terms and add to give the middle term
Be even numbers
Multiply to give the middle term
Be prime numbers
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which pair of numbers satisfies the conditions for factoring the given trinomial?
18 and 4
36 and 2
6 and 12
9 and 8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the larger number being negative in the factor pair?
It balances the equation
It simplifies the calculation
It matches the sign of the middle term
It ensures the product is positive
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to arrange terms correctly in the box method?
To eliminate fractions
To simplify the trinomial
To fill all the area and determine the correct side lengths
To ensure the factors are in alphabetical order
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final factored form of the trinomial discussed?
X^2 + 8 and 3X^2 - 9
3X^2 + 8 and X^2 - 3
3X^2 - 9 and X^2 + 8
X^2 + 3 and 8X^2 - 9
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