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# Polynomial Long Division (Grades 11-12)

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## Polynomial Long Division

Instructions: When dividing, use polynomial long division.

1.
What is $3x^2-7x-6$ divided by $(x-3) ?$
1. $(3x+2)+6/(x-3)$
2. $3x+2$
3. $x-3$
4. $3x^2-8x-9$
2.
What is the remainder of $4x^2+2x-5$ divided by $x-2$?
1. $-2$
2. $x-15$
3. $15$
4. $x+15$
3.
What is $13x^2+5x-8$ divided by $(x+8) ?$
1. $(13x-104)+874/(x+8)$
2. $(13x-99)+784$
3. $(13x-8)$
4. $(13x-99)+784/(x+8)$
4.
What is the remainder of $x^2+6x-2$ divided by $x-5$?
1. $-7$
2. $x-53$
3. $53$
4. $-2$
5.
Divide:
$(x^2-3x-28)-:(x+4)$
1. $x-7$
2. $x+4$
3. $x+7$
4. $x-4$
6.
What is $4x^2-6x+2$ divided by $(2x-1) ?$
1. $(x-2)+2/(2x-1)$
2. $(2x-2)+2/(2x-1)$
3. $(2x-2)$
4. $(4x-1)+2/(2x-1)$
7.
What is the remainder of $x^2-x-2$ divided by $x+6$?
1. $-2$
2. $40$
3. $x-40$
4. $x+2$
8.
What is $x^2+14x-6$ divided by $(x+7) ?$
1. $(x+7)+8/(x+7)$
2. $(x+7)-55/(x+7)$
3. $(x+7)-20/(x+7)$
4. $(x+7)$
9.
What is $4x^3-2x^2+7x+5$ divided by $(x+2)?$
1. $(4x^2-10x+27)-49/(x+2)$
2. $(4x^2-10x+27)$
3. $(4x^2-10x+27)+59/(x+2)$
4. $(4x^2-10x+27)-59/(x+2)$
10.
When $2x^3 +3x^2 -2x+3$ is divided by $2x-1$, what is the remainder?
1. $0$
2. $1/2$
3. $3$
4. $6$
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