| Long Division | Synthetic Division | Factor and Remainder Theorem | Factoring Polynomials | Random Review |
|---|---|---|---|---|
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125 remainder 9
Divide 1759 by 14 (show remainder)
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1
In order to do synthetic division, the coefficient and the degree of the x-value of the divisor must equal:
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Factor theorem
The ____________ states that if a function is divided by (x-a) and the remainder is zero, then (x-a) is a factor.
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Greatest common factor
The _____ is the largest number or variable that two or more terms in an expression share.
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f(x) = ax^2 + bx + c
What is the standard form of a quadratic function?
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730 remainder 24
Divide 19,734 by 27 (show remainder)
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1x
Find the quotient:
(x^2 - x + 1) ÷ (x - 1) |
Solution/root/zero/x-intercept
According to the remainder theorem, if a function is divided by (x-a), where x = a, and the remainder is zero, then x is a _________ of the function.
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4(x^2 + 5)
Factor:
4x^2 + 20 |
±∞
The domain of an odd degree function with a negative coefficient is:
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9
Find the remainder:
(42x^2 − 33) ÷ (7x + 7) |
-57
Find the remainder:
(7x^3-1) ÷ (x+2) |
No, because the remainder is 4.
Is (k - 1) a factor of (k^2 - 7x +10)? Why or why not? (if not, show remainder)
|
(4x - 3)(x+1)
Factor:
4x^2 + 4x - 3x - 3 |
University of Illinois and Purdue University
Which universities did Mr. Lee graduate from? Hint: there are 2
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-3
Find the remainder:
(50k^3 + 10k^2 − 35k − 7) ÷ (5k − 4) |
-656
Find the remainder:
(x^3+x^2+x+1) ÷ (x+9) |
No, because the remainder is 40.
Is x = 3 a solution of the function (2x^3 −3x − 5)? Why or why not? (if not, show remainder)
|
8(8+5x^2+9x)
Factor:
64+40x^2+72x |
x = ±√7-3
Solve for x by completing the square:
x^2+6x+2 = 0 |
|
x^2-2
Find the quotient:
(3x^3 + x^2 - 6x + 9) ÷ (3x + 1) |
(5x^3 + 20x^2 + 81x + 316)
Find the quotient:
(5x^4 + x^2 - 8x + 2) ÷ (x - 4) |
There are no other factors.
(x+1) is a factor of the function (x^3 + 3x^2 + 3x + 1).
What are the other factors? |
(5x − 8)(7y − 1)
Factor:
35xy-5x-56y+8 |
2 and 18 degrees celsius
The fish population in a certain part of the ocean as a function of the water's temperature (in degrees Celsius) is modeled by:
p(x)=−2x^2 + 40x − 72 Which temperatures will result in no fish? |
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