Polynomial Questions
What is terms
Parts seperated by + or -
(a³-2a²)-(+3a²-4a³)
5a³-1a²
What are the special names for polynomial
Binomial
Trinomial
(5p²-3)+(+2p²-3p³)
7p²-3p³-3
(x²+3x-9)+(2x²-4x+3)+(-7x²-6x+2)
-4x²-7x-4
What Constants can polynomial have
3, -20 or 1/2
(12a⁵-6a-10a³)-(+10a-2a⁵-14a⁴)
14a⁵+14a⁴-10a³-4
What is the definition of Monomial
An Algebraic expression containing exactly one term
(13n²+11n-2n⁴ )+(-13n²-3n-6n⁴)
8n-8n⁴
How do we know what the Degree is when we are naming polynomials
The degree of a polynomial is the highest exponent (power) found in its expression
What are the variables
x or y
(8n-3n⁴+10n²)-(+3n²+11n⁴-7)
-14n⁴+7n²+8n+7
What is the definition of Binomial
An Algebraic expression of the sum or the difference of two terms
(9r³+5r²+11r)+(-2r³+9r-8r²)
7r³-3r²+20r
What is a 3 simple way to solve polynomials
1.Remove the ( ) and get rid of double signs
2. Rerranged the equation so that like terms are near each other
3.Added like terms
What is the exponents
like the 2 in y²
(3-6n⁵-8n⁴)-(-6n⁴-3n-8n⁵)
2n⁵-14n⁴+3n+3
What is the definition of Trinomial
An Algebraic expression consisting of three terms
(-4k⁴+14+3k²)+(-3k⁴-14k²-8)
-7k⁴+6-11k²
What are like terms?
x-Single variable same letter
x²-Exponets and variable are the same
-9-# with no variable
xy--The same combo of letter
x²y-the exponets match
What is the short defintion of polynomials
Poly:Many
Homial:Terms
(5x³-9x²y+3xy²-4)-(+3x³-6x²y-2xy²+3)
2x³-3x²y+5xy²-7
What is the definition of Standard Form
Put the term with the highest degree(Exponets)
(6xy²-5xy+7)+(+9xy²+2xy-6)
15xy²-3xy+1
How do we find out how much terms do we have
To find the number of terms in a polynomial, count the individual parts of the expression that are separated by addition (+) or subtraction (-) signs.