Vocabulary
Give an example of a polynomial
5x2 - x + 1
*There are many different polynomials
Simplify each polynomial and name its degree. Write your answers in standard form.
3x2 – 5x3 – x(2x2 + 4x)
–x2 – 7x3
(x + 5) (x - 2)
x2 + 3x - 10
Give an example that is not a polynomial.
2y2 +√3x + 4
*There are many answers for this
Simplify each polynomial and name its degree. Write your answers in standard form.
11c5 – 9c6 + 15c5 – 13c6 + 5c6
26c5 – 17c6
(x + 8) (x + 1)
x3 + 8x2 - x - 8
What is the definition for Greatest Common Factor?
The greatest number that is a factor of two (or more) other numbers.
Simplify each polynomial and name its degree. Write your answers in standard form.
5m5 – 7m3 + 3m2 – 5m5
3m2 – 7m3
(x - 8) (x + 2)
x2 - 6x -16
What is standard form?
The term with the highest degree is placed first, followed by the term which has the next highest degree, and so on.
Simplify each polynomial and name its degree. Write your answers in standard form.
5d2 + 2d2 – 8d3 – (2d2 + 5d)
–8d3 + 5d2 – 5d
x2 + x - 2
(x + 2) (x - 1)
Factoring a polynomial is the process of decomposing a polynomial into a product of two or more polynomials.
Simplify each polynomial and name its degree. Write your answers in standard form.
2(n2 + 2n2 – 5n3) + 8n3 + 19
19 – 2n3 + 6n2
4x2 - 4x + 1
(2x - 1) (2x - 1) or (2x - 1)2