Completing the Square with a Leading Coefficient Not Equal to 1: Algebraic

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Mathematics, Information Technology (IT), Architecture
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1st - 6th Grade
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a common mistake when using the distributive property to multiply a monomial by a polynomial?
Not using the monomial at all
Multiplying the monomial by the polynomial twice
Multiplying the monomial by only some terms of the polynomial
Forgetting to multiply the monomial by the first term
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the expression 2x^2 + 20x + 1, what number completes the square after factoring out the 2?
5
50
25
10
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After completing the square for 2x^2 + 20x + 1, what is the vertex form of the expression?
2(x - 5)^2 - 49
2(x - 5)^2 + 49
2(x + 5)^2 - 49
2(x + 5)^2 + 49
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the expression 3x^2 - 4x - 2, what is the linear coefficient after factoring out the 3?
-3/4
-1/3
-2
-4/3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the vertex form of the expression 3x^2 - 4x - 2 after completing the square?
3(x - 2/3)^2 - 10/3
3(x + 2/3)^2 + 10/3
3(x + 2/3)^2 - 10/3
3(x - 2/3)^2 + 10/3
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