properties of exponents
long division
synthetic division
add and subtract polynomials
100

monomial 

1 term 

includes #s and variables 

no number under square root 

100

2(sqrt )324

162

100

first step in solving a synthetic division 

write all the coefficients 

100

(10x^2+3)-(2x+10)

10x^2+13

200

polynomial 

more than one term

200

2(sqrt)453

226

200

second step of solving synthetic division?

write the constant of the diviser but change sign 

200

(6x^2-x+3)-(5x^2-10x+1)

11x^2-11x+4

300

degree of polynomial 

the degree of the term with the largest degree 
300

x-1(sqrt)x^2-13x+12

x-12

300

third step of solving synthetic division 

multiply and add

300

(-4x^2+6)-(-9x^2-7x)

-13x^2-x

400

trinomial 

3 terms

400

x-3(sqrt)x^2+7x-30

x+10

400

whats the fourth step of solving a synthetic division 

last number is your remainder, add variable back to the rest of your numbers

400

(x^2-3x-3)+(2x^2+7x-2)

3x^2-4x-5

500

binomial 

2 terms 

500

-x+5(sqrt)x^2+3x-9

-x-8

500

what do you add as the coefficient if missing any items?

0

500

(4r^2-6r+2)-(-r^2+3r+5)

5r^2-9r-3

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