Add/ Subtract Polynomials
True or False: When adding/subtracting polynomials, I can only combine like terms.
True or False: When multiplying polynomials, I can only multiply like terms
False
Find the Quotient and Remainder:
(x^2-7x+12)/(x-4)
Quotient: x-3
Remainder: 0
Solve for x
2x+8=24
x=8
Define "binomial"
A polynomial containing two terms
19p^3+35p^3
54p^3
8x(-8x+8)
-64x^2+64x
Determine the Quotient and Remainder:
(x^2-19x-150)/(x+6)
Quotient: x-25
Remainder: 0
Factor the trinomial
x^2+7x+10
(x+5)(x+2)
Define "roots"
Example: Mark found the roots of the function
The x-intercepts of a function
23y^3-(-7y^3)
30y^3
(3m+2)(8m+5)
24m^2+31m+10
Determine the Quotient and Remainder:
(2x^2-x-4)/(x-1)
Quotient: 2x+1
Remainder: -3
Find the Axis of Symmetry
For DOUBLE POINTS find the Vertex as well
2x^2-12x-52
AOS:
x=3
Vertex:
(3, -70)
DAILY* DOUBLE
What is a "Complex Number"
Must be the complete and accurate definition!
A number containing both a real and imaginary number.
Always in the form a+bi
(14n^2-13n-6)+(-15n^2-7n-2)
-n^2-20n-8
-4s(8s^2-9s+7)
-32s^3+36s^2-28s
DAILY*DOUBLE
Determine the Quotient and Remainder:
(6x^3+3x-4)/(x-2)
Quotient:
6x^2+12x+27
Remainder: 50
Solve for m
|5m-8|=52
m=12, -44/5
Name the 3 forms of quadratics
Vertex, Standard, and Factored
(p^2+q^2)-(4p^2-15pq-11q^2)
-3p^2+15pq+12q^2
DAILY*DOUBLE
(q+5)(4q^2-10q+7)
4q^3+10q^2-43q+35
Find the Quotient and Remainder:
(12x^3-4x^2+8x-3)/(x+1)
Quotient:
12x^2-16x+24
Remainder: -27
Solve for k
DAILY* DOUBLE
|5-2k|+11=0
No Solution!
Give a FORMAL definition of "quadratic"
A polynomial with a degree of 2