2 +add sub polys.notebook · 2 +add sub polys.notebook April 26, 2018 More adding and subtracting...

2 +add sub polys.notebook April 26, 2018

Polynomial

a term or the sum of terms such as x, ­5x2, or 3xyz4

Definitionan algebraic expression with one or more terms

Classification by terms1 term2 terms3 terms

monomial 10,3x2, 10abbinomial  2x+5, ­2+atrinomial  3x2+x­5

Polynomial  degree  name52x+43x2­4x+1­8x3+x

01

23

highest power of exponent

constantlinearquadraticcubic

Nonexamples x­3 x1/2

standard form:

leading coefficient:

highest power down to lowest power

the coefficient of the first term when the polynomial is in std form

4xAdding and Subtracting Polynomials

1) (3x4 ­ 2x3 + 5x2)+(7x2 + 9x3 ­ 2x)

2) (7x2 ­3x + 6)+(­9x2 + 6x ­ 11)

(vertical and horizontal format)

3)  (3x2 ­ 9x) ­ (2x2 ­ 5x+ 6)

4) (11x2 + 6x ­ 1) ­ (­2x2 ­ 7x + 5)

"Algebra Tiles"

+ + + ­ ­ ­x2 x

1x2 x

1

(2x2+5x­3)+(x2­3x+1)

(­3x2 + x ­ 1) + (2x2 ­ 4x + 2)

(2x2+5x­3) ­ (x2 + 3x+1)

++

+++++­ ­

­

­­­ ­+

2 +add sub polys.notebook April 26, 2018

More adding and subtracting polynomials

1.) (x4 ­ 3x3 + 2x) + (4x3 ­ 5x2 ­ 7x)

2.) (3x5 + 8x2 + 6x) ­ (3x5 ­ x2 ­ 4x+ 8)

Homework~

Add/Sub Polynomials WS

(1­20) all problems

I can add and subtract polynomials.

Quiz over adding and subtracting polynomials TOMORROW!!!