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20 questions
Yes, x-3 is a factor of p(x) since the remainder is 0.
No, x-3 is not a factor of p(x) since the remainder is 0.
Match the following appropriately.
It is important you can recognize the connection between factors and solutions.
x-1 is a factor of p(x). | 1 is a solution of p(x). | ||
x - 3 is a factor of p(x). | 3 is a solution of p(x). | ||
x is a factor of p(x). | 3/2 is a solution of p(x). | ||
2x - 3 is a factor of p(x). | 0 is a solution of p(x). |
Match the following appropriately.
It is important you can recognize the connection between factors and solutions.
-3 is a solution of p(x). | x + 3 is a factor of p(x). | ||
5 is a solution of p(x). | x - 5 is a factor of p(x). | ||
5/3 is a solution of p(x). | 3x - 5 is a factor of p(x). | ||
-5 is a solution of p(x). | x + 5 is a factor of p(x). |
1 is a solution of p(x)
1 is not a solution of p(x)
x -1 is a factor of p(x)
x+1 is not a factor of p(x)
Match the following:
x + 2... | |||
The remainder is... | |||
The work provided shows the polynomial 5x^{2} - 10x - 40 being divided by... | 0 | ||
-2... | x+2 |
x-7 is a factor of p(x).
x+7 is a factor of p(x).
-7 is a solution of p(x).
7 is a solution of p(x).
Which statement accurately describes what this work demonstrates?
5 is a solution of p(x) since the remainder is 0.
5 is a solution of p(x) since the remainder is 100.
5 is not a solution of p(x) since the remainder is 0.
5 is not a solution of p(x) since the remainder is 100.
x-5 is a factor of p(x) since 5 was a solution.
x-5 is not a factor of p(x) since 5 was not a solution.
x+5 is not a factor of p(x) since 5 was not a solution.
x+5 is a factor of p(x) since 5 was a solution.
True
False
Complete the synthetic division and use the remainder to determine a true statement concerning p(x) and its solutions.
-2 is a solution of p(x) since the remainder is equal to 0.
-2 is not a solution of p(x) since the remainder is equal to 1.
-2 is not a solution of p(x) since the remainder is equal to 33.
2 is not a solution of p(x) since the remainder is equal to -1.
Complete the rest of this synthetic division problem.
Determine the remainder.
The remainder is 18.
The remainder is 0.
The remainder is 108.
The remainder is 28.
Based on the remainder you found, which statement is true?
Based on the remainder you found, which statement is true?
Assume that a polynomial has a solution at the x-value 4.
Which of the following must be a factor of that same polynomial?
4x
x-4
x+4
Assume that x-2 is a factor of a polynomial. Which x-value must be a solution of that same polynomial?
The x-value -2
The x-value 2
The x-value 0
C would need to be equal to 0.
C would need to be equal to 12.
C would need to be equal to -12.
C would need to be equal to 300.
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