Polynomial Terminology
Operations with Polynomials
Operations in word form
Factoring
100
What is the degree of the following polynomial?
-5x2+x4+3x
4
100
(-4x+4x3+7)+(3x3-9-3x)
7x3+7x-2
100
What is the sum of (6x2+9x-5) and (-4x2+x-4)?
2x2+10x-9
100
Factor 20x+40
20(x+2)
200
What is the leading coefficient of the following polynomial:
3x5+4x3-7
3
200
(-x2-5x-3)-(-7x2-8x-8)
6x2+3x+5
200
Subtract (-6n5-8n4+3) from (-8n5-6n4-9)
-2n5+2n4-12
200
Factor 4x3-12x2
4x2(x-3)
300
What type of polynomial is this?
7
Monomial
300
(5x3)(9x2+3)
45x5+15x3
300
What is the product of (3x-7) and (2x+8)?
6x2+10x-56
300
Factor x2+13x+30
(x+3)(x+10)
400
Write this polynomial in standard form:
7x-5+6x5-9x3
6x5-9x3+7x-5
400
(x+3)(x+6)
x2+9x+18
400
Subtract (3n2-11n4-7n) from (8n-3n4+10n2)
8n4+7n2+15n
400
Factor x2-11x+24
(x-3)(x-8)
500
-5x2+x4-6+3x
Standard Form:
Degree of Polynomial:
Type of Polynomial:
Leading Coefficient:
Standard Form: x4-5x2+3x-6
Degree of Polynomial: 4
Type of Polynomial: Quadrinomial
Leading Coefficient: 1
500
(3x-7)2
9x2+42x+49
500
500
Factor x2-5x-6
(x-6)(x+1)