Binomials
Multiply (x+1)3x
3x²+3x
Multiply
3x(x²+2x-1)
3x³+6x²-3x
What is the degree of a linear polynomial?
Degree 1
(x+1)²
x²+2x+1
Multiply x²(3x+1)
3x³+x²
Multiply (x+1)(3x²-2x+1)
3x³+x²-x+1
What is a trinomial?
A polynomial with 3 terms.
(x-1)(x+1)
x²-1
Multiply (x+1)(x-3)
x²-2x-3
Multiply (x+3)(3x²-4x-5)
3x³+5x²-17x-15
What is the degree of a constant?
Degree 0.
(2x-3)²
4x²-12x+9
Multiply (2x+1)(3x²-4)
6x³+3x²-8x-4
Multiply (x+3x+1)(x²-4x+2)
x4-x³-9x²+2x+2
What is the degree of a cubic polynomial?
Degree 3.
(2x²+3x)(2x²-3x)
4x4-9x²
Multiply (3xy+6)(2x+y)
6x²y+3xy²+12x+6y
Multiply (2xy+3x+1)(2x²+2x+2)
4x³y+6x³+4x²y+8x²+4xy+8x+2
Categorize the following polynomial by terms and degree. x²+4x-2y+2
2nd degree polynomial
(3xy+3y)²
9x²y²+18xy²+9y²