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