Characteristics
The following polynomial has this many terms?
14x5-15x3-14
What is 3 terms
Add. Write your answer in standard form.
(2x3-5)+(6+2x3)
4x3+1
State the remainder and determine if (x-4) a factor of
(x3+x2-12x-32) ?
r=0, yes (x-4) is a factor
given one factor, find the remaining factors
x3+6x2-x-30; (x-2)
(x-2)(x+5)(x+3)
The following polynomial is what type?
16x2-2x
What is a binomial
Add. Write your answer in standard form.
(5x3+3x4)+(4x4-5x2+7x3)
7x4+12x3-5x2
State the remainder and determine if (x-8) is a factor of
(8x4-67x3+20x2+35x-24)
r=0, yes (x-8) is a factor
given one factor, find the remaining factors
x3+4x2+x-6; (x+2)
(x+2)(x+3)(x-1)
The following polynomial is what type?
2x3+2x-2-3x
not a polynomial
Subtract. Write your answer in standard form.
(8x+3)-(5-3x2+4x)
3x2+4x-2
(9x3-27x2-1)
r=-1, (x-3) is not a factor
x3-5x2-16x+80; (x-5)
(x-5)(x+4)(x-4)
x=5,-4,4
What is the degree and name of this polynomial?
3x+2
Degree 1 - Linear
Add. Write your answer in standard form.
(7x4-6x+6x3)+(1+8x2-7x3)+(3x+7x3)
7x4+6x3+8x2-3x+1
State the remainder and determine if (x+1) is a factor of
10x3+10x2
r=0, yes (x+1) is a factor
given one factor, find the remaining factors. then find all the zeros.
2x3-3x2-17x+30; (x-2)
(x-2)(x+3)(2x-5)
x=2,-3,5/2
State the type, degree and name for the following polynomial
3x2+2x2y3+6y4
Trinomial, 5th degree, quintic
Add/Subtract. Write your answer in standard form.
(2x2+4x4+6x-2)-(4x2+8x-8x4)+(4x2+5x4)
17x4+2x2-2x-2
State the remainder and determine if (x-6) is a factor of
x4-6x3-7x+40
r=-2, (x-6) is not a factor
given one factor, find the remaining factors. then find all the zeros.
3x4-14x3-20x2+70x+25; (x-5)
(x-5)(x2-5)(3x+1)
x=5,-1/3, √ 5, -√ 5