Terms and Coefficients
Answer in the form of a question.
The number preceding a variable.
What is a coefficient?
Answer in the form of a question.
An algebraic expression with one term.
What is a monomial?
Classify each polynomial by its degree and the number of terms.
-12fg+3
Degree 2; binomial
Simplify each polynomial.
2st-3s^2t^2+3st-6s^2t^2
-9s^2t^2+5st
Find the sum.
(3x^2-24x+2)+(-8x-4x^2+10)
-x^2-32x+12
Answer in the form of a question.
In an algebraic expression, these are separated by addition and subtraction symbols.
What are terms?
A polynomial with 3 terms.
What is a trinomial?
Classify each polynomial by its degree and the number of terms.
y^2-2/3y+8
Degree 2; trinomial
Simplify each polynomial.
2y+8x^2-5y+x-6x^2
2x^2+x-3y
Find the sum.
(3x^2+3x+4)+(-6x^2-2x-1)
-3x^2+5x+1
Identify the terms and coefficients of each expression.
3r-4q+2
Terms: 3r, -4q, 2
Coefficients: 3, -4
Answer in the form of a question.
True or false
A monomial can only have a whole number exponent.
What is true?
Classify each polynomial by its degree and the number of terms.
6-2xyz^3
Degree 5; binomial
Simplify the polynomial.
x^3+3x-6x^3+2x
-5x^3+5x
Find the sum.
(a^2-2b+3c)+(a^2+4b+2)
2a^2+2b+3c+2
Identify the terms and coefficients of each expression.
(-1/2)r^2+t-4
Terms: -1/2r2, t, -4
Coefficients: -1/2, 1
Classify each polynomial by the number of terms.
Answer in the form of a question.
4-2x^3
What is a binomial?
Classify each polynomial by its degree and the number of terms.
-6rst
degree 3; monomial
Simplify the polynomial.
a^2b-2a^2b+8a+24a^2
-a^2b+24a^2+8a
Answer in the form of a question.
The addition property that allows you to rearrange addends when simplifying expressions.
What is the commutative property of addition?
Identify the terms and coefficients of each expression.
4/5y^3+1/2y-6
Terms:
4/5y^3, 1/2y, -6
Coefficients:
4/5,1/2
Classify each polynomial by the number of terms.
Answer in the form of a question.
-6x^3y^3z
What is a monomial?
Classify each polynomial by its degree and the number of terms.
16+3def-4e
Degree 3; trinomial
Simplify the expression.
2(v^2+3v+6)+v^2
3v^2+6v+12
Answer in the form of a question.
The addition property that allows one to change the grouping of addends to simplify an expression.
What is the associative property of addition?