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