Concepts 13-15

Vocabulary

100

Largest exponent of a term or function

What is a degree?

200

A function that is a monomial or a sum of monomials

What is a polynomial?

300

Terms that have the same variables and powers

What are like terms?

400

The directions the ends of the graph go

What is end behavior?

500

A polynomial written as a product of polynomials

What is factored form?

Classifying Polynomials

100

These types coefficients make an equation a polynomial.

What is real number coefficients?

200

This polynomial is written in ____________ _______. 

-7x⁵+x⁴+9x²+4

What is standard form?

300

Degree and type of polynomial of the given polynomial is ________ and _______ . 

f(x)= -14

What is 0 and constant?

400

f(x) = -2x²+x-9

is a great example of a ___________ function. (degree)

What is quadratic?

500

These 2 numbers are the leading coefficient and degree of the given polynomial.

x⁸-3x⁹-15+2x²

What is -3 and 9?

Evaluating Polynomials

100

Evaluate the polynomial function 

f(x) = 5x²+3x-50  when x = -2

What is -36?

200

Add -9x⁴+7x³+4x-7 and -8x⁴-10x²+x-3

What is -17x⁴+7x³-10x²+5x-10?

300

Subtract (-9x⁴+7x³+4x-7) and (-8x⁴-10x²+x-3).

What is -x⁴+7x³+10x²+3x-4?

400

Multiply (3x-1)(x²+2x-6)

What is 3x³+5x²-20x+6?

500

Multiply (x-3)²

What is x²-6x+9?

Synthetic Substitution/Division

100

Use Synthetic Substitution to evaluate when x = -3

g(x) = -6x³+9x²-4x+20

What is 275?

200

Divide the polynomials using synthetic division

(x²+x-3)/(x-2)

What is x+3 r3?

300

Use synthetic division to find P(x)

P(x) = 3x²+2x-20 when x = 3

What is 13?

400

Divide the polynomials using synthetic division

(x³-4x²+12x-16)/(x-2)

What is x²-2x+8?

500

Determine if (x-2) is a factor of the given polynomial using synthetic division

f(x) = x⁴-3x³+2x²+8x-16

What is yes, x-2 is a factor?