Test 4 - Polynomials

Quadratics/Cubics

100

f(x)= x²+7x+12

(x+3)(x+4)

200

f(x) = x³+1

(x+1)(x²-x+1)

300

f(x) = x³+x²-20x

x(x-4)(x+5)

400

f(x) = x³+5x²+6x

x(x-2)(x-3)

500

f(x) = x³+8

(x+2)(x²-2x+4)

Quartics

100

f(x) = x⁴-3x²-18

(x²-6)(x²+3)

200

f(x) = x⁴+2x²-3

(x²+3)(x-1)(x+1)

300

f(x) = x⁴-13x²+42

(x²-7)(x²-6)

400

f(x) = x⁴-16x²+63

(x-3)(x+3)(x²-7)

500

f(x)=x⁴-8x

x(x-2)(x²+2x+4)

Quintics/Degree 6

100

f(x) = x⁵-5x³-6x

x(x²+1)(x²-6)

200

f(x) = x⁵-15x³+54x

x(x-3)(x+3)(x²-6)

300

f(x) = x⁵+x³-42x

x(x²+7)(x²-6)

400

f(x)=x⁶-1

(x-1)(x²+x+1)(x+1)(x²-x+1)

500

f(x)=x⁶+9x³+8

(x+1)(x²-x+1)(x+2)(x²-2x+4)

Naming Poly

100

Name the polynomial by degree and number of terms.

f(x) = 4x²+4x+1

Quadratic Trinomial

200

Name the polynomial by degree and number of terms.

f(x)=x⁵+4x

Quintic Binomial

300

Name the polynomial by degree and number of terms.

f(x)=3x⁴+1

Quartic Binomial

400

Name the polynomial by degree and number of terms.

f(x)=5x

linear monomial

500

Name the polynomial by degree and number of terms.

f(x)=4

constant monomial

End Behavior

100

Determine the end behavior of the function.

f(x)=x²

up and up

200

Determine the end behavior of the function.

f(x)= - x⁴

down and down

300

Determine the end behavior of the function.

f(x)= -7x⁵

up and down

400

Determine the end behavior of the function.

f(x)= 5x³+6x²

down and up

500

Determine the end behavior of the function.

f(x)= 3x⁴+4x³-3x⁴

down and up