Algebra 2 6.1/6.2 Review

Write Each Polynomial In Standard Form, Classify by degree and number of terms

100

4x + x + 2

5x+2

D: Linear

T: Binomial

200

-3+3x-3X

-3

D: Constant

T: Monomial

300

x²+3x-4x³ 

-4x³+ x²+3x

D: Cubic

T: Trinomial

400

a³(a²-a-1)

a⁶-a⁴-a³

D: 6th Degree

T: Trinomial

500

(2x⁴+4x-10)/4

(1/2)x⁴+x-(5/2)

D: Quartic

T: Trinomial

For Each Function Determine the Zeros.Then state the multiplicity.

100

y=x(x-8)³

x=0, 8

8 has a multiplicity of 3

200

y=(x-2)(x+7)³

x= 2, -7

7 has a multiplicity of 3

300

y=x⁴-8x³+16x²

x= 0, 4

4 has a multiplicity of 2

400

y=9x³-81x

x=0, 3, and -3

Write Each Function In Standard Form

200

y=(x-5)(x+5)(2x-1)

2x³-x²-50x+25

300

y=(2x+1)(x-3)(5-x)

8x²-17x-15

400

y=x(x-1)²

x³-2x²+x

500

y=(x+4)(2x-5)(x+5)²

2x⁴+26x³+60x²+45x-500

Write a Polynomial in Standard Form with given zeros

100

-1, 3, 4

x³-6x²+5x+12

200

1, 1, 2

x³-4x²+5x-2

300

-3, 0, 0, 5

x⁴-2x³-15x²

Write Each Function In Factored Form

100

y=2x³+10x²+12x

2x(x+3)(x+2)

200

y=x⁴-x³-6x²

x²(x-3)(x+2)

300

y=-3x³+18x²-27x

-3x³(x-3)(x-3)

400

y=x³-8x²+15x

x(x-5)(x-3)