Terminology
Is the following a monomial, binomial or trinomial?
-2x2
Monomial
(-11n)-(-5n)
-6n
What is the degree of the following polynomial?
5x+2y-5
1
(2x+4) + (3x-5)
5x-1
(7a2+4ab) + (9ab+2a2)
9a2+13ab
What is the degree of -4?
0
(3x+6) - (x-2)
2x+8
Name the coefficient, constant and variable of:
3m2+2
3, 2, m
(p+1) + (5p-6)
6p-5
(2x+1) - (-3x+5)
5x-4
Name the coefficient, constant and variable of
5m2+3n-7
5 and 3 coefficients
-7 is constant
m and n are variables
(3y+7y2+6) - (3y2-5y)
4y2+8y+6
Are the following equivalent polynomials?
3m+7-2m2 and 7-2m2-3m
No
(3a2+5ab-3b2) + (3b2-10ab-7a2)
-4a2-5ab
(-7m2+8m-2n+3n2) + (n+2m+5nm)
-7m2+10m-n+3n2+5mn
Are the following equivalent polynomials?
7-2m2+3m and 3m+7-2m2
Yes
(3x2-4) - (-5x2+5x-4)
8x2-5x
Give an example of a trinomial.
answers vary
Write the perimeter as a sum of polynomials in simplest form if the length is 3t-4 and the width is 2t+1
10t-6
(5e+4f-9e2+5f2) - (-f2-2e2+5f-8e)
13e-f-7e2+6f2
One student says, "4a+5 is a binomial." Another student says "4a+5 is a polynomial." Who is correct?
Both!
(5a+2a2-4b2-3b) - (-3b2+6a-7b+4a2)
-a-2a2-b2+4b
Jennie does not understand how the terms 2m and m2 are different. Explain the difference to her.
2m has 2 as coefficient (doubling, m*2)
m2 has 2 as exponent (product of m*m)
(3x2-2y2+xy) + (-2xy-2y2-3x2)
-4x2-xy
(5n+3500) - (4n+1100)