Naming Polynomials
The number of terms in a trinomial.
Three
Coefficient of 4x2?
4
(7x+4) + (5x+7)
12x + 11
(3x+1)(2x+3)
6x2+12x+3
Simplify: (3x2)(-2x3)
-6x5
The DEGREE of 2x4+9x3-5x2+6
4
Exponent of 4x3
5x2+x
(6x2+4) - (3x2+5)
3x2-1
(2x-5)(3x+2)
6x2-4x-10
Is this in Standard Form?
4x3 - 6 + 2x -5x4 + 6x2
No
The number of terms in 4y5+6xy-3x2
Three
Name the factors in (3x)(x + 7) = 3x2 + 21x
(3x)(x+7)
(3x2 + 2x + 3) + (x2 + 5x + 5)
4x2 + 7x + 8
(2x-4)(3x2-6x+1)
6x3-24x2+26x-4
2x(4x3 + 7x - 9)
8x4 + 14x2 -18x
Write an example of a 3rd degree binomial.
Ms. Meier or Mrs. Crump will check!
Name the product in (3x)(x + 7) = 3x2 + 21x
3x2 + 21x
(6x2-5x+8) - (4x2-7x+9)
2x2+2x-1
(x + 4)(x - 4)
x2 - 16
Put in Standard Form:
4x3 - 6 + 2x -5x4 + 6x2
-5x4 + 4x3 + 6x2 +2x -6
FULLY name the polynomials based on degree and number of terms.
x4 + 3x
This is a _____ degree ________.
1. Fourth 2. Binomial
The Leading Coefficient in
6x3 - 3x2 + 9x - 21
6
(5x - 3) + (4x + 7) + (2x - 6)
11x - 2
( 3x - 4)(2x2 - 5x + 6)
6x3 -23x2 +38x - 24
(3x - 2)2
9x2 -12x +4