Jeopardy Finals

polynomial functions

100

8x⁵-4x³+2x²-x-3

state the leading coefficient of each polynomial in one variable 

This is a polynomial in one variable .The greatest exponent is 5 the leading coefficient is 8

200

find f(3c-4)-5f(c) if f(x)=x^2+2x-3

4c^2-28c+20

300

12x^2-3xy+8x is this a one polynomail function 

 what is Not a polynomial?

400

the coefficent of the first term of a polynomial  in standard for is

what is leading coefficient?

500

A contionus function that can be described by a polynomial equation in one variable is

what is polynomial function?

factoring

100

3x² +9x³+12x⁴

3x²(1+3x+4x²)

200

4x²+12x+5

(2x+5)(2x+7)

300

18x²-39x+20

(6x-5)(3x-4)

400

Factoring polynomials involves breaking up a polynomial into simpler

terms(the factor)

500

3x²+6x-24

3(x+4)(x+2)

system of equations

100

a _____ is a collection of two or more equations with the set of ______

system of equation; Unknowns

200

-2x+3y=-1, 2x+5y=25

the solutuion is (5,3)

300

9x+13y=2; -3x-5y=2 is (6,-4) a solution of this solution

                          yes

9(6)+13(-4)=2      -3(6)-5(-4)=2

54-52                    -18+20

=2                          =2

400

y=5x-1      2y=3x+12

2y=3x+12                y=5x-1

2(5x-1)=3x+12          y=5(2)-1

10x-2=3x+12            y=9

7x-2=12

x=2  

                  The solutionis (2,9)

500

2y=3x=20;y=x+5

2(x+5)+3x=20       y=(2)+5

2x+10+3x=20        y=7

5x+10=20

x=2   

                   The solutuion is (2,7)

matrices and operations

100

There are several types of matrices, but the most commonly used are
 

   

• Rows Matrix.
• Columns Matrix.
• Rectangular Matrix.
• Square Matrix.
• Diagonal Matrix.
• Scalar Matrix.
• Identity Matrix

200

a rectangular array of numbers or other mathematical objects for which operations such as addition and multiplication are defined

what is a matrix?

300

how do you multiply a matrix?

1.  Multiply the elements of each row of the first matrix by the elements of each column in the second matrix.
2.  Add the products.

400

an mxn of zeros

 what is zero matrix

500

the number of columns of A does not equal the number of rows of B then the product AB is what?

what is UNDEFINED?

Rational Function

100

An function which can be defined by rational function

Rational Funciton

200

the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

End Behavior 

300

the set of x-values that give rise to real y-values.

domain

400

straight lines of the equation , toward which a function f(x) approaches infinitesimally closely, but never reaches the line, as f(x) increases without bound.

Vertical Asymptote

500

The function R(x) = (x^2 + 4x - 1) / (3x^2 - 9x + 2) is a _________ since the numerator, x^2 + 4x - 1, is a___________ and the denominator, 3x^2 - 9x + 2 is also a polynomial.

rational function 

Polynomial