Naming Polynomials
The name of this polynomial: 6x2
quadratic monomial
Put this polynomial in standard form: -1 + 3x2 + 4x
3x2 + 4x - 1
Add: (4x + 9) + (3x + 2)
7x + 11
Subtract: (6x2 + 9x + 2) - (3x2 + 4x + 1)
3x2 + 5x + 1
Multiply:
3(x2 + 2x - 1)
3x2 + 6x - 3
The name of this polynomial: 2x4 + 3x + 5
quartic trinomial
This is the number at the front of a polynomial in standard form.
leading coefficient
Add: (7x2 + 2x ) + (1x2 + 4x + 8)
8x2 + 6x + 8
Subtract: (7x2 + 4x + 2) - (6x2 + 2x + 5)
x2 + 2x - 3
Multiply:
5x2(4x3 + 2x - 1)
20x5 + 10x3 -5x2
The name of this polynomial: 4x2
quadratic monomial
x, y, and z are all considered what in math?
variable
Add: (3x2 + 4) + (2x2 + 5x + 7)
5x2 + 5x + 11
Subtract: (3x2 + 2x + 9) - (4x2 + 7x + 2)
-x2 - 5x + 7
Multiply:
( x+ 2)(x - 4)
x2 - 2x - 8
The name of this polynomial: -5x3 + 2x2 + 3x - 1
cubic polynomial
Put this polynomial in standard form: 5x4 - 2x2 - 1 + 4x3 + 7x + 7x5
7x5 + 5x4 + 4x3 - 2x2 + 7x - 1
Add: (7x2 + 4x + 2) + (3x3 + 9x2 + 7)
3x3 + 16x2 + 4x + 9
Subtract: (2x2 + 5) - (6x2 + 2x + 9)
-4x2 - 2x - 4
Multiply:
(x - 8)2
x2 -16x + 64
The name of this polynomial: -1
constant monomial
The name of a polynomial with power of 3 and two terms.
cubic binomial
Add: (7x3 + 3x) + (4x2 + 9)
7x3 + 4x2 + 3x + 9
Subtract (2x2 + 9x + 12) from (5x3 + 2x2 + 7x + 1)
5x3 - 2x - 11
Multiply:
(2x2 + 3)(5x - 2)
10x³ - 4x² + 15x - 6