Polynomials Etc. Flashcards
Polynomial a do not have?
Negative or non-whole number powers
Anything raised to the 0 power is?
1
What is the degree of a polynomial?
The biggest exponent in the expression
What is a 1st degree polynomial expression?
Linear polynomial
What is a 2nd degree polynomial?
Quadratic polynomial
What is a 3rd degree polynomial?
Cubic polynomial
What is a 4th degree polynomial?
Quartic polynomial
What is the leading coefficient?
The coefficient for the highest power
What is the constant term?
The term without a variable
When there is no coefficient for the highest power:
The coefficient is 1
When there is no constant term:
Assume it is 0
When adding/subtracting polynomials:
Always combine like terms
When subtracting a polynomial, always?
Put parenthesis around the second polynomial
Subtracting is the same as?
Multiplying by -1
To divide a polynomial:
1) distribute the -1 to change all the signs
2) add
What is a monomial?
A polynomial with just 1 term
How to multiply two monomials?
1) MULTIPLY the COEFFICIENTS
2) ADDthe EXPONENTS
When dividing two monomials:
1) DIVIDE the COEFFICIENTS
2) SUBTRACT the EXPONENTS
What happens when you multiply/divide two monomials with different variables?
Multiply/divide the coeffients, leave the variables and exponents
What are binomials?
Polynomials with exactly two terms
What do you use to multiply two binomials?
Use the FOIL distributive property
When a binomial is squared, it is the same as:
Two binomials multiplied using the FOIL method
What are polynomial a?
Expressions with variables raised to non-negative integer powers, multiplied by coefficients, then added together.
A quadratic with a negative discriminant has how many roots?
0
A quadratic with a discriminant of 0 has how many roots?
1
A quadratic with a positive discriminant has how many roots?
2
