Basic Definitions
The part of math that uses letters to express unkown, indeterminate or variable numbers.
What is algebra?
Can these monomials be added?
4x3 + 3x2
No, they have different exponents.
The sum or subtraction of multiple monomials.
What is a polynomial?
3x2
x = -2
What is 12?
An expression formed with letters and numbers.
What is an algebraic expression?
What is the coefficient of this expression?
-15x3
-15 is the coefficient.
The ______ of a polynomial is the largest of the degrees of the monomials that form it.
What is a degree?
2ab3
a = 4
b = 3
What is 216?
A known value.
What is a coefficient?
How many degrees are in this expression?
6ab2
3 degrees.
a * b * b
The ______ of a polynomial is when another polynomial has the same monomials but with changed signs ( + / -).
What is the opposite?
-36x6
One or various unknown values, represented by letters.
What is literal parts?
What is the literal part of this expression?
4a2b3
a2b3 is the literal part.
What is the numerical value of 4x3 when x=2?
What is 32?
24a2b / 6a2
4b
The product of a known value and one or various unknown values.
What is a monomial?
Two monomials can ONLY be added or subtracted when they are ________.
What is similar?
What is the largest exponent in this polynomial?
(3x2+4) + (6x3-4x+1) + (2x3+7x2+8)
What is x3?
(7x2 + 3x + 2) - (-5x3 - 2x2 + 1)
7x2 + 3x + 2 + 5x3 + 2x2 -1
5x3 + 9x2 + 3x +1