Perms & Combs Define This Roots & Zeros Divide and Factor Name That Function Final 40
A monomial that is not involved with a variable is called this. Constant Name That Function – 10 Points
Classify the Following Polynomial: x x 3 +x-x 5 5 th Degree Polynomial Name That Function – 20 Points
Classify the Following Polynomial: x 2 (x+2)(x-3) x 4 -x 3 -6x 2 4 th Degree Polynomial Name That Function – 30 Points
This polynomial has zeros at x = 0, 2 w/a mult of two, -3i, +3i, & -3 w/a mult of two. What is the Degree of this Polynomial? 7 th Degree Polynomial Name That Function – 40 Points
Classify the Following Polynomial: (a-b) 4 What is the degree & how many terms are? 4 th Degree Polynomial with 5 terms. One more than ‘n’. Name That Function – 50 Points
(x 2 +2x+6)÷(x+2) The binomial (x+2) in this division problem is called The Divisor Divide and Factor – 10 Points
Find the Quotient (x 2 +2x+6)÷(x+2)= (x+ 6/(x+2)) Divide and Factor – 20 Points
Find the Quotient (4x 3 +3x 2 +2x)÷(x+3)= 4x 2 -9x+29-(87/(x+3)) Divide and Factor – 30 Points
Find the Quotient (4x 3 +2x+1)÷(x 2 -3)= 4x+((14x+1)/(x 2 -3)) Divide and Factor – 40 Points
Use Division & Factor out Completely. (x 3 -4x 2 -9x+36);(x+3) State Each Factor! (x+3)(x-3)(x-4) Divide and Factor – 50 Points
What are the zeros of the following function? (x 3 -4x 2 -21x) x(x 2 -4x-21)=x(x-7)(x+3) The zeros are 0,7,-3 Roots and Zeros – 10 Points
Four roots of a polynomial equation with a rational coefficients are -17, -6-i, and 0. Which root is missing? -6+i Roots and Zeros – 20 Points
Roots and Zeros – 30 Points Write the polynomial function (in linear factors) that best associates with graph. x(x+1)(x-2)(x+4)
Describe the differences between a ‘zero of a function’ and an ‘x-intercept’. A zero of a function is a solution to the function that causes the function to equal zero. An x- intercept is where y=0 and when the line of the graph crosses the x-axis. Roots and Zeros – 40 Points
The polynomial 2x 5 +3x 3 - 2x+273 could possibly have how many imaginary roots? 0,2, or 4 Roots and Zeros – 50 Points
The number of appearances of a zero of a polynomial function describes the ______ of a zero. Multiplicity Define This – 10 Points
If a quotient of polynomial division results in a polynomial with no remainder, then the divisor is said to be a _____ of the dividend. Factor Define This – 20 Points
Define n! n!=n*(n-1)*(n-2)*…*1 Define This – 30 Points
Define: Rational Numbers Any integer numbers ‘a’ and ‘b’, (where b≠0) that can be written as a fraction a/b. Define This – 40 Points
A monomial or the sum of monomials. (What am I?) A Polynomial Define This – 50 Points
An arrangement of items in a particular order. What is a Permutation Perms and Combs – 10 Points
Solve: 7P27P2 7!/(7-2)!= (7*6*5!)/5!=7*6=21 Perms and Combs – 20 Points
What are the formulas for a Permutation and Combination? n!/(n-r)!=Permutation n!/(r!(n-r)!)=Combination Perms and Combs – 30 Points
Perms and Combs – ?? Points Determine whether the following situations would require calculating a permutation or a combination: (A.) Selecting three students to attend a conference in Washington, D.C. (B.) Selecting a lead and an understudy for a school play. (C.) Assigning students to their seats on the first day of school. A. Combination B.permutation C. permutation DAILY DOUBLE DAILY DOUBLE
Perms and Combs – 50 Points A car door lock has a five digit-button keypad. Each button has one number on it (1-5). How many different five-button patterns are possible? (You can use a button more than once.) n r =5 5 =3125
FINAL JEOPARDY The binomial expansion (2x-3) 5 could possibly have how many imaginary roots? 0 Imaginary Roots, They’re all REAL! FINAL JEOPARDY Rational Roots FINAL JEOPARDY Rational Roots