Algebra 2 (Module 4)

Algebra 2 (Module 4)

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Section 1

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Remainder Theorem

Front

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Mar 1, 2020

Cards (14)

Section 1

(14 cards)

Remainder Theorem

Front

when the opposite of the constant from the binomial divisor is substituted into a function for x, the result is the remainder.

Back

Complex Number

Front

is made up of a number and another term that is imaginary

Back

Synthetic Division

Front

Back

Odd Degree (Positive Leading Coefficient)

Front

Left Side continues down and right side continues up

Back

Even Degree (Positive Leading Coefficient)

Front

Both Sides travel upwards

Back

Theorem

Front

a statement, not necessarily mathematically in nature, but proven by experimentation.

Back

Steps for long division of polynomials

Front

1. Divide 2. Multiply 3. Subtract 4. Bring Down 5. Repeat

Back

What do we do for missing terms for dividing polynomials?

Front

Add a zero into the coefficient (3x^2 + 0x +3)

Back

Even Degree (Negative Leading Coefficient)

Front

Both Sides travel downwards

Back

Odd Degree (Negative Leading Coefficient)

Front

Left Side continues up and right side continues down

Back

Polynomial

Front

has two or more terms that can be a constant, varialbe, or variable of a coefficient combined together

Back

Monomial

Front

exactly one term that can be a constant, varialbe, or a variable with a coefficient example 5 or x³ or 4x

Back

Fundamental Theorem of Algebra

Front

the number of zeros, either real or complex is equal to the degree of the polynomial

Back

Factor Theorem

Front

a first degree binomial is a factor of a function if and only if the remainder is zero.

Back