Show:
Terms
Adding
Subtracting
Multiplying
Random
100
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
What is a polynomial?
100
(-5x-12)+(x^2-5x+4)
x^2-10x-8
100
(3x^4+4x^3)-(x^4-5x^3)
2x^4-x^3
100
-2x^2y(-3x-y)
6x^3y-2x^2y^2
100
5x^2(6x+2)
30x^3+10x^2
200
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
What is a coefficient?
200
(-9x^3-x-1)+(-7x^3-x+10)
-16x^3-2x+9
200
(-7x^5-10x^4-2x+14)-(5x^5+10x^4-7x)
-12x^5-20x^4+5x+14
200
(x+3)(x+2)
x^2+5x+6
200
( -3x^2 + 1 ) - ( -6x^3 - 4x + 5 )
6x^3 - 3x^2 + 4x - 4
300
an algebraic expression of the sum or the difference of two terms.
What is a binomial?
300
(-7x^3+8x^2-4x+1)+(x^3-15x^2+4x)
-6x^3+-7x^2+1
300
(-12x^3-3x+4)-(-3x+16)
-12x^3-12
300
(3x-4)^2
9x^2-24x+16
300
(10a² + 4a -5) – (3a² +2a +1)
7a² + 2a -6
400
(of an algebraic expression) consisting of three terms.
What is a trinomial?
400
(3x^2-5)+(7x^2-3)
10x^2-8
400
(4x^2+9x-5)-(4x^2-5x+3)
14y-8
400
(5x-1)(-2x^3+4x-3)
-10x^4+2x^3+20x^2-19x+3
400
x² (6x² - 3x -1)
6x^4 -3x³ -x²
500
Like terms are terms that contain the same variables raised to the same power.
What are like terms?
500
(5x^2+7x+1)+(2x^3-6x+8)
2x^3+5x^2+x+9
500
(5x-6x^3+2x^4)-(9x^3+4x^4-7)
-2x^4-15x^3+5x+7
500
(1.5x-3)(4x+2)
6x^2-9x-6
500
(3m +4) –(2m² -6m +5)
-2m² + 9m -1