Algebraic Vocabulary
Algebraic Properties
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Dividing 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
100
Multiply using the distributive property:
-2x^3(3x^2-4x+7)
-6x^5+8x^4-14x^3
100
Simplify
(32x^3y^6)/(16x^5y^4
(2y^2)/x^2
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
200
Multiply:
(2x+6)(x-4)
2x^2-2x-24
200
Divide and give your answer in standard form:
(x^6+x^3+x^4+x^2+x^5+x)/x
x^5+x^4+x^3+x^2+x+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
300
Multiply:
(5y-2)(4y^2+3y-1)
20y^3+7y^2-11y+2
300
Simplify:
(4x^5-6x^4+14x^3-10x^2+2x)/(2x)
2x^4-3x^3+7x^2-5x+1
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
400
Multiply:
(3x^2+2x-5)(2x-3)
6x^3-5x^2-16x+15
400
Find the sum of the two polynomial expressions:
(5x^3+25x^2+10x)/(5x)+(50x^7+40x^4)/(10x^4
x^3+x^2+5x+6
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
500
Find the area of the triangle as a polynomial in standard form.
12x^2+x-1
500
What is the length of each side of the equilateral triangle?
5x^3+x^2-3x+9