2.14 Unit Test Polynomials Part 1

Question: In order for a function to be a polynomial, what must be true of the exponents?

Answer: they must be whole numbers {0, 1, 2, 3, etc.}

Question: In order for a function to be a polynomial, what must be true of the coefficients?

Answer: they must be real numbers {-1, 0, 0.5, 1, etc.}

Question: What’s an easy way to subtract to polynomials?

Answer: add the first to the OPPOSITE (change all the signs) of the second

Question: How do you multiply two polynomials together?

Answer: distribute each term of the first polynomial to the second polynomial and make sure to ADD each faction together

Question: How do you do “freaky factoring” (4)?

Answer: -determine the repeated expression

-substitute “y” in for that expression wherever it shows up in the expression

-factor the new “y” expression

-sub the initial expression back in for “y” and simplify the factors

Question: How do you prove polynomial identities?

Answer: set the two polynomials equal to each other and simplify both/one of the sides until they are equal

Question: What are the lyrics to remember the sum and difference of two perfect cubes?

Answer: “Cube root, cube root, keep the sign…

Square it, square it, multiply and switch the sign.”

Question: 2^3

Answer: 8

Question: 3^3

Answer: 27

Question: 4^3

Answer: 64