Algebraic Vocabulary
Algebraic Properties
Adding Polynomials
Subtracting Polynomials
100
Name the polynomial:
3x^2-4x+2
Trinomial
100
Name the algebraic property:
9+0=9
Additive Identity Property
100
Add:
(x^3-x^2+x-1)+(3x^3-2x^2+x-1)
4x^3-3x^2+2x-2
100
Subtract the polynomials:
(x^2+5x+4)-(5x^2-3x+9)
-4x^2+8x-5
200
Write the polynomial in standard form:
4-x^4+8x^2-3x^3
-x^4-3x^3+8x^2+4
200
Name the algebraic property:
(6*5)*8=6*(5*8)
Associative Property of Multiplication
200
What is the polynomial degree of the sum of
(6x^2-5)+(8-7x^3-2x^2)
3
200
Subtract
(7x^2+3x-8)
from
(10x^2-3x-7)
3x^2-6x+1
300
What is the degree of the polynomial?
14x-7x^3+21x^2-28
3
300
Name the algebraic property:
11(x-23)=11x-11(23)
Distributive Property of Multiplication
300
Find the perimeter of the rectangle.
64x^2+8x+20
300
Find the difference of
(12x^2-3x+4)
and
(9x^2-2x+8)
3x^2-x-4
400
What is the coefficient of the third degree term in the polynomial?
x^4-x^3+2x^2-6x+1
-1
400
Name the algebraic property:
ax+by=by+ax
Commutative Property of Addition
400
Describe the error and correct it:
The squared and linear (just x) terms should not be combined because they are not alike.
-2x^3-4x^2+8x+1
400
Find the length of the base as an expression if the perimeter of the isosceles triangle is
5x^2+x+8
x^2+x+2
500
What is the standard form of the polynomial?
9-8x+7x^4-3x^2+5x-6x^3
7x^4-6x^3-3x^2-3x+9
500
What number maintains the property of multiplicative identity?
1
500
Find the sum of
(5x^3-x^2-x), (3x^4+4x^3), and 3(x^4+x^2-x)
6x^4+9x^3+2x^2-4x
500
Describe the error and correct it.
You need to subtract the x squared terms and change the -2 to +2.
4x^2-8x+2