Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Academic Algebra 2 Name:________________________ Date: __________ Block:______ Polynomials Test Review 1) Find the equation in standard form that would have each of the following sets of roots: (a) x = –1; x = 2; x = –3 (b) x = 2; x = –2; x = − 5 2 2) If –3 is a root, find the other roots and write in factored form: f ( x) = x 3 − 7 x 2 − 5 x + 75 3) Given the following graphs, write the function in factored: (a) (b) Degree 3: 3 2 4) Given the following equation, state the roots and multiplicity of each root: y = ( x + 2) ( x − 3) 5) Given the following equation, state the zeroes and the multiplicity of each zero: f ( x) = x 5 − 9 x 4 + 27 x 3 − 27 x 2 6) Given the following function, state the number of zeroes, the number of real zeroes, and the number of imaginary root: f ( x) = x 4 − x 2 − 3 7) Given the following function, state the total number of zeros, the number of real roots, any multiplicity and where they occur, and the number of imaginary root: f (x) = x5 − 2x3 − 2x2 − 3x − 2 8) 9) Identify all the zeroes: f (x) = (x + 4) 2 (x − 3) 3 (x + 9) : _____________________________ Which of the following is a polynomial function: (a) h( x) = 1 3 x + 2x 4 (b) f ( x) = 3.4 x 9 + 2 x (c) g( x) = 5x − 7 x (d) k(x) = 2x 3 − x −4 11) Use the polynomial: f ( x) = 3x 5 + 1 − 2 x 2 + 7 x 6 (a) Write the polynomial in Descending order: _____________________________ (b) State the degree: _____________ (c) State the Leading Coefficient: ___________ 12) Graph the function and fill in the blanks. f (x) = x3 − 4x2 + 7 Zeros__________________________________ Y-intercept_____________________________ Maximum(s)_____________________________ Minimum(s)_____________________________ Domain________________________________ Range_________________________________ End Behavior___________________________ _____________________________________ Increasing/Decreasing:____________________ ______________________________________ ______________________________________ 13)) Match each grap [A] ith its description: [B] ___ 8th-degree polynomial, negative leading coefficient. ___ 7th-degree polynomial, negative leading coefficient. ___ 5th-degree polynomial, positive leading coefficient. ___ 4th-degree polynomial, positive leading coefficient. [C] [D] 20) Match each graph with its description: [A] [B] ___ 8th-degree polynomial, negative leading coefficient. ___ 7th-degree polynomial, negative leading coefficient. ___ 5th-degree polynomial, positive leading coefficient. ___ 4th-degree polynomial, positive leading coefficient. [C] [D]