Factors of Integers and Polynomials
Quotient Remainder Theroem
Modular Arithmetic
Regular and Synthetic Division of Polynomials
Binary Numbers
100

Is 0 a factor of anything?

No

100

If n=27 and d=5 then what do r and q equal

r=2

q=5

100

19=4mod5 give another number that when divided by 5 gives a remainder of 4

14,24,29,34,39 are all possibilties

100

Divide x3-4x2+2x-3 by (x+2)

Q= x2-6x+14

r=-31

100
What is 11112 in base 10

15

200

What is the degree of the Sum of (-5y8+26y7-x)+(x4-98)

8

200

Suppose n is an integer and n is divided by 6, How many different remainders are possible?

12

200

Using Modular Arithmetic what time will it be 10 hours later if it 7 now?

17mod12

It will be 5:00

200

Divide -13x2+4x3+2x-7 by x2+3x-2

q=4x-25

r=85x-57

200
What is 37 in base 2?

1001012

300

Give the Degree of the following: (x10-7x3+8x)(5x12+6x8-5)

22

300

n=96 q=5 Find q and r

q=19

r=1

300

List a set of numbers with a remainder of 3 when divided by 4

(11,15,19,23,27)

300

Divide 4x4+1+3x3+2x by x2+x+2

q=4x2-x-7

r=11x+15

300

What is 110110112 in base 10?

155

400

If 3x2-6x-45=(x-5)*p(x), What is p(x)

(3x+9)

400

n=498 d=47 find q and r

q=10

r=28

400

What is the day of the week 146 days past Tuesday?

146mod7

Monday

400

Divide -5x5-1 by 5x+5

q=-x4+x3-x2+x-1

r=4

400
What is 45 in base 3?

1200

500

p(x)=(x+1), q(x)=x2-7x+10, and c(x)=x2-5x-24

what expression of p(x)*(some polynomial) is also equal to q(x)+c(x)

2(x+1)(x-7)

500

Find n when d=93 q=72 and r=88

n=6784

500

What is the Check digit for ISBN 87-11-07559-?

7 is the check digit

500

Divide 5x5-4x4+3x3+x2-10 by x2-x+2

q=5x3+x2-6x-7

r=5x+4

500

What is 10110012+1110102? And what is that in base 10?

10010011 

147

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