Classify
Classify by terms and degree.
x^2+3x-1
Terms: Trinomial
Degree: Quadratic
Add
(2w^3-6w)+(7-10w^3)
-8w^3-6w+7
What is the property used to multiply a monomial with a polynomial?
Distributive Property
The order used to multiply two binomials: first terms, outside terms, inside terms, last terms
Multiply.
(x-4)(x+4)
x^2-16
Classify by terms and degree.
3a^4
Terms: Monomial
Degree: Quartic
Add
(7ab^2+4a+b)+(-3ab^2-3a)
4ab^2+a+b
Multiply.
4x(3x)
12x^2
Multiply.
(x+1)(x-3)
x^2-2x-3
Multiply.
(x+6)^2
x^2+12x+36
Classify by terms and degree.
xy^4-2xy+5x^2
Terms: Trinomial
Degree: 5th degree
Add
(6y^6+5y^4+5)+(3-4y^4-6y^6)
y^4+8
Multiply.
-2xy(5x^2)
-10x^3y
Multiply.
(4x+4)(3x+2)
12x^2+20x+8
Multiply.
(x-1)^2
x^2-2x+1
Classify by terms and degree.
5ab^2+4a^2b
Terms: Binomial
Degree: Cubic
Subtract.
(4r^2+4)-(3r+1)
4r^2-3r+3
Multiply.
5x(-3x+5)
-15x^2+25x
Multiply.
(x+5)(x^2-4x+2)
x^3+x^2-18x+10
Multiply.
(5x+7)(5x-7)
25x^2-49
What is the leading coefficient.
7x^2-2x^3+1-4x
Leading Coefficient is -2
Standard Form:
-2x^3+7x^2-4x+1
Subtract.
(-2b^2+6b-9)-(5b^2+4b-2)
-7b^2+2b-7
Multiply.
7xy(4xy-7y+2x^2)
28x^2y^2-49xy^2+14x^3y
Multiply.
(x-3)(2x^2-4x-6)
2x^3-10x^2+6x+18
Multiply.
(5x-7)^2
25x^2-70x+49