* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Chapter 5 Review
Survey
Document related concepts
Root of unity wikipedia , lookup
Signal-flow graph wikipedia , lookup
Rook polynomial wikipedia , lookup
Quadratic form wikipedia , lookup
Gröbner basis wikipedia , lookup
Quadratic equation wikipedia , lookup
Dessin d'enfant wikipedia , lookup
Quartic function wikipedia , lookup
Polynomial greatest common divisor wikipedia , lookup
Cayley–Hamilton theorem wikipedia , lookup
Horner's method wikipedia , lookup
System of polynomial equations wikipedia , lookup
Factorization of polynomials over finite fields wikipedia , lookup
Polynomial ring wikipedia , lookup
Fundamental theorem of algebra wikipedia , lookup
Transcript
NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Chapter 5 Vocabulary Test SCORE ___________ degree of a polynomial polynomial in one variable simplify depressed polynomial power function synthetic division end behavior prime polynomials synthetic substitution extrema quadratic form turning points leading coefficient relative maximum polynomial function relative minimum Underline the correct word or phase that best completes each sentence. 1. (End behavior, Synthetic substitution) is a method for evaluating a polynomial function f(x) at a particular value of x. 1.______________________ 2. A (relative maximum, depressed polynomial) is a turning point where the graph increases as it approaches the point and decreases as it moves away from the point. 2. ______________________ 3. Writing the polynomial 2𝑥 4 + 9𝑥 2 – 15 as 2(𝑥 2 )2 – 9(𝑥 2 ) – 15 uses the idea of (leading coefficients, quadratic form). 3. ______________________ 4. To (simplify, synthetic substitute) (3𝑥 2 𝑦 2 )(–2𝑥 2 𝑦 3 ) means to write it as 6𝑥 4 𝑦 5 . 4. ______________________ 5. A shortcut method used to divide polynomials by binomials is called (end behavior, synthetic division). 5. ______________________ 6. The form we usually write in is called (standard notation, quadratic form). 6. ______________________ 7. If a point is on a graph of a polynomial function and no other nearby points of the graph have a lesser y-coordinate, the point is a relative (maximum, minimum) of the function. 7. ______________________ 8. If 𝑥 3 + 3𝑥 2 – 4x – 12 is divided by x – 2, the quotient will be 𝑥 2 + 5x + 6 and the remainder will be 0. In this case, 𝑥 2 + 5x + 6 is called the (quadratic form, depressed polynomial). 8. ______________________ 9. The degree and (relative minimum, leading coefficient) of a polynomial function determines the graph’s end behavior. 9. ______________________ 10. The expression 4𝑥 3 + 3𝑥 2 – 5x + 6 is a(n) (polynomial function, polynomial in one variable). 10. ______________________ Define each term in your own words. 11. end behavior 11. ______________________ 12. degree of a polynomial 12. ______________________ Chapter 5 60 Glencoe Algebra 2