Lesson 5.1 & 5.2 Review
-3y^2(y^3 + 9y^2 - 7y - 2)
-3y^5 - 27y^4 + 21y^3 + 6y^2
Write in standard form: -8y - 9y^3 + 9 - 6y^2
-9y^3 - 6y^2 - 8y + 9
(-y^3 + 7y + 5) - (2y^2 - 3y - 6)
-y^3 - 2y^2 + 10y + 11
Monomial
1 term
(11y^2 + 3y - 4) + (y^2 - y + 1)
12y^2 + 2y - 3
Binomial
2 terms
(4y - 5)(7y - 3)
28y^2 - 47y + 15
Trinomial
3 terms
(y^2 + 5y + 4)(3y + 2)
3y^3 + 17y^2 + 22y + 8
Polynomial
A monomial or a collection of monomials
Polynomials can't have.....
Negative powers or variable powers
Is -9xyz^-3 a polynomial
No
Leading coefficient
The coefficient of the greatest power
Degree of a Polynomial
The greatest power
Standard form of a polynomials
Written highest power to lowest power
Is -12x^2 - 14 - 5x a polynomial
Yes
(y + 8)(y - 11)
y^2 - 3y - 88
(9y + 6y^3 - 8y^2) + (-5y^3 + 6y)
y^3 - 8y^2 + 15y