
Algebra 2 | Unit 2 | Lesson 12: Polynomial Division (Part 1) | Practice Problems
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Mathematics
6th Grade

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7 questions
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1.
FILL IN THE BLANK QUESTION
30 sec • 1 pt
Rewrite \(p(x)\) as the product of linear factors. Draw a rough sketch of the graph of the function.
2.
OPEN ENDED QUESTION
3 mins • 1 pt
Tyler thinks he knows one of the linear factors of \(P(x)=x^3-9x^2+23x-15\). After finding that \(P(1)=0\), he suspects that \(x-1\) is a factor of \(P(x)\). Here is the diagram he made to check if he’s right, but he set it up incorrectly. What went wrong?
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3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The polynomial function \(q(x)=2x^4-9x^3-12x^2+29x+30\) has known factors \((x-2)\) and \((x+1)\). Which expression represents \(q(x)\) as the product of linear factors?
(2x - 5)(x+3)(x-2)(x+1)
(2x + 3)(x-5)(x-2)(x+1)
(2x + 15)(x-1)(x-2)(x+1)
(2x - 15)(x+1)(x-2)(x+1)
4.
OPEN ENDED QUESTION
3 mins • 1 pt
Write an expression for the value of the account at the end of three years in terms of the growth factor \(x\). Determine (to the nearest cent) the amount in the account at the end of three years if the interest rate is 4%.
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5.
OPEN ENDED QUESTION
3 mins • 1 pt
State the degree and end behavior of \(f(x)=5 + 7x - 9x^2 + 4x^3\). Explain or show your reasoning.
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6.
OPEN ENDED QUESTION
3 mins • 1 pt
Describe the end behavior of \(f(x) = 1 + 7x + 9x^3 + 6x^4 - 2x^5\).
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7.
OPEN ENDED QUESTION
3 mins • 1 pt
What are the points of intersection between the graphs of the functions \(f(x)=(x+3)(x-1)\) and \(g(x)=(x+1)(x-3)\)?
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