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Algerbra 1 > Polynomials & Factoring > Flashcards

Polynomials & Factoring Flashcards

1
Q

How to find a degree of a monomial

A

The sum of the exponents

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2
Q

How to find the degree to a Polynomial

A

The highest exponents of all terms in the expression

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3
Q

What is standard form?

A

The degree of its monomial terms decreases from left to right

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4
Q

What is the name of a Polynomial based on

A

It’s degree and number of terms

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5
Q

What is the name of something with the degree of one?

A

Linear

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6
Q

What is the name of something with the degree of 0

A

Constant

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7
Q

What is something to the degree of 6

A

Sixth degree

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8
Q

What is something to the degree of 3

A

Cubic

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9
Q

What is something to the degree of 2

A

Quadratic

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10
Q

What is an expression with 1 term called

A

Monomial

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11
Q

What is an expression with 3 terms called

A

Trinomial

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12
Q

What is an expression with 2 terms called

A

Binomial

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13
Q

How do you multiply monomials and trinomials

A

Use destibutive property

  • 2expon3 (9x expon4 -2x expon3 + 3)
  • 18x expon7 + 4x expon6
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14
Q

How to multiply binomials

A

Simply each product using distributive property, or foil

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15
Q

How do you multiply special cases

A

Distributive property

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16
Q

Factoring Polynomials
How to factor x expon2 + bx + c
Where b>0, c>0

A

Find factors of c
Which 2 factors add up to b?
Then write as ( x+m ) ( x+n )

17
Q

Factoring where b<0,c>0

A

Find factors of c
Which factors add up to bWrite in form
(X-m) (x-n )

18
Q

Factoring when c<0

A

One positive one negative

x-m ) (x+n

19
Q

Factor a expon2 + bx + c

A

Find factors of ac

Add up to b and rewrite as the b term

20
Q

Factoring special cases

A

Find factors of c.
Write as (x+6) (x+6)
Simplifies (x+6) expon2

21
Q

How to factor by grouping

A

Circle first two and last two.

You know what to do from there

Algerbra 1 (2 decks)

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