Algrbra Flashcards

Polynomials and Rational Equations

1
Q

What are Monomial

A

Term with only one variable term (x or y)

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2
Q

What are Binomial

A

A term with two variable (x+y) or x+x2

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3
Q

What are like variables Properties of like variables

A

Like variables are variables with same degrees, they can be added, subtracted, multiplied and divided
eg - x+x = 2x

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4
Q

What are Polynomial

A

A term with more than two variables (eg - x+x2+x3+x4)

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5
Q

What is Associative property in algebra

A

(a+b)+c can be written as a+(b+c)
(ab)c can be written as a(bc)

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6
Q

a*(b+c) is equal to

A

ab +ac

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7
Q

when do you reverse inequality (>=)

A

If you multiply the inequality by a negative sign, you reverse the inequality

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8
Q

What is GCF

A

Greatest common Factor,
when needed to compare two numbers, do prime factorization and get the numbers out, multiply them thats the GCF

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9
Q

Fundamental Theory of Arithmetic

A

All natural numbers are either prime numbers or expressed as a product of prime numbers

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10
Q

What is Prime Factorisation

A

Prime factorisation invloves breaking the number into possible prime numbers

eg- 2 => 225

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11
Q

x^0 =

A

1

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12
Q

if n is even, then n root of x^n =

A

modulus of x

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13
Q

x^a *x^b =

A

x*a+b

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14
Q

x^a/x^b

A

x^a-b

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15
Q

x3+y3 =

A

(x+y) (x^2 -xy +y^2)

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16
Q

What is Quadratic Formula

A

-b+ sqrt(b^2 -4ac)/2a

17
Q

What is the degree of the constants

A

0

18
Q
A