Understanding Polynomials
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Dividing Polynomials
100
Is a monomial a polynomial? if yes, give an example
Yes! it just has one term.
examples vary
100
Add x + 2 and 3x + 4
4x+6
100
Find the difference of (5x - 3) - (2x + 4).
3x-7
100
Multiply (2x) by (3x + 4).
2x(3x+4) = 6x2+8x
100
What is 6x2 divided by 2x?
3x
200
What is the degree of the polynomial 3x2 + 5x - 4?
2
200
Add (3x2-3)+(4x4-2x2)
4x4+x2-3
200
Subtract (x + 2) from (3x + 5).
(3x + 5)-(x + 2) = 2x +3
200
What is (x + 2)(3)?
3x+6
200
Find the quotient
x2-3x+9
300
Identify the coefficient(s) in the polynomial
2y2 + 3y + 1.
2 and 3
300
What do you get when you add 5a + 3b and 2a - 4b?
7a - b
300
When you subtract a negative...
it's a positive!
300
Find the product (3x2-5)(2x3+3x)
6x5-x3-15x
300
Synthetic division can only be used in what situations?
When the x is linear (1st degree)
400
How many terms are in the polynomial 4x2 - x + 7? What is it called? (2 part answer!)
3 which is a trinomial
400
Add these polynomials and then tell me the degree and number of terms (use special vocab if applicable). (2x4+3x3-2x+7)+(9x4-5x3+2x)
11x4-2x3+7
Quartic trinomial
400
There is an error, tell me the correct difference
(4x2+3x−5)−(2x2+x+4)
=4x2+3x−5−2x2+x+4
=2x2+4x−1
The correct difference is 2x2+2x-9.
400
Find the product of (3x)(−3x+1).
-9x2+3x
400
There is an error, tell me the correct quotient
The correct quotient is 4x2-2x+3
500
What are the like terms in the polynomials:
4x2 - 2 and -7x + 5.
-2 and 5
500
Add x2 + 2x + 3 and 3x2 + 4x + 1.
4x2 + 6x +4
500
Simplify the expression (7x2+5x−3)−(3x2+2x-1).
4x2+3x-2
500
Find the product of 3x(2x2−4x+1).
6x3-12x2+3x
500
What is
2x2+3x-4