Trinomials a = 1
Factor Completely:
x2 + 7x + 10
(x + 5)(x + 2)
Factor Completely
x3 + 3x2 + 4x + 12
(x2 + 4)(x + 3)
Factor Completely:
2x2 + 5x + 3
(x + 1)(2x + 3)
4x3 + 5x2 - 12x + 18
What is the Constant?
18
What does "Polynomial" mean?
Many Terms
Factor Completely:
x2 - 9x + 20
(x - 4)(x - 5)
Factor Completely:
x3 - 5x2 + 2x - 10
(x2 + 2)(x - 5)
Factor Completely:
6x2 + 7x + 2
(2x + 1)(3x + 2)
4x3 + 5x2 - 12x + 18
What is the variable?
x
How many terms does a binomial have?
2
Factor Completely:
x2 + 3x - 18
(x + 6)(x - 6)
Factor Completely:
3x3 - 6x2 + 5x - 10
(x - 2)(3x2 + 5)
Factor Completely:
3x2 - 10x + 8
(x - 2)(3x - 4)
4x3 + 5x2 - 12x + 18
What are the Coefficients?
4, 5, -12
How many terms does a trinomial have?
3
Factor Completely:
x2 - 5x - 24
(x - 8)(x + 3)
Factor Completely:
x3 + x2 - 9x - 9
(x + 1)(x2 - 9)
Factor Completely:
3x2 + 11x + 6
(x + 3)(3x + 2)
4x3 + 5x2 - 12x + 18
What are the exponents?
3, 2, 1
How many terms does a monomial have?
One
Factor Completely:
x2 - 11x + 28
(x - 7)(x - 4)
Factor Completely:
4x3 + 6x2 - 10x - 15
(2x + 3)(2x2 - 5)
Factor Completely:
4x2 - 4x - 15
(2x - 5)(2x + 3)
4x3 + 5x2 - 12x + 18
What kind of polynomial is this?
quadrinomial
How many terms does a Quadrinomial have?