2 +add sub polys.notebook · 2 +add sub polys.notebook april 26, 2018 more adding and subtracting...
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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)
++
+++++
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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!!!