Polynomials

Question 1

Linear

Answer 1

no power

Question 2

Quadratic

Answer 2

2nd power

Question 3

Cubic

Answer 3

3rd power

Question 4

Quartic

Answer 4

4th power

Question 5

Sum of two cubes:

Answer 5

a3 + b3 = (a + b)(a2 - ab + b2)

Question 6

The difference of two cubes:

Answer 6

a3− b3 = (a − b)(a2 + ab + b2)

Question 7

Graphing CUBIC functions: POI form

Answer 7

P(x)=a(x-h)3+k

Question 8

Graphing CUBIC functions: Linear Factor form

Answer 8

P(x)=a(x-l)(x-m)(x-n)

Question 9

Graphing CUBIC functions: Repeated factor form

Answer 9

P(x)=a(x-m)2(x-n)

Question 10

Graphing CUBIC functions: irreducible factor form (only TA)

Answer 10

P(x)=(x-m)(ax2+bx+c)

Question 11

Graphing QUARTIC functions: TP form

Answer 11

P(x)=a(x-h)4+k

Question 12

Graphing QUARTIC functions: Linear factor form

Answer 12

P(x)=a(x-l)(x-m)(x-n)(x-p)

Question 13

Graphing QUARTIC functions: Repeated quadratic factor form

Answer 13

P(x)=a(x-l)2(x-m)(x-n)

Question 14

Graphing QUARTIC functions: repeated quadratic form 2

Answer 14

P(x)=a(x-m)2(x-n)2

Question 15

Graphing QUARTIC functions: repeated cubic form

Answer 15

P(x)=a(x-m)3(x-n)

Question 16

Graphing QUARTIC functions: other complex forms

Answer 16

P(x)=a(x-m)2(ax2+bx+c)