Algebra 1 Section 8.1 ADDING & SUBTRACTING POLYNOMIALS

Polynomial: An expression that is the sum of terms in the form of ax k where…  a is the coefficient.  x is the variable.  k is the degree. Polynomials can be classified two different ways!  By Degree  By Terms DEFINITION

CLASSIFYING BY DEGREE DegreeName 0Constant 1Linear 2Quadratic 3Cubic 4Quartic 5Quintic 6+Nth Degree Degree: the greatest exponent in any term of a polynomial.

CLASSIFYING BY TERM # Of TermsName 1Monomial 2Binomial 3Trinomial 4+Polynomial Term: the number of “items” being added/subtracted in a polynomial.

Classify each of the following polynomials by degree AND term. 1)6x 3 +2x 3 +x-4 2)2x 4 -7x )23x 2 LET’S PRACTICE!

 Terms must be arranged in order by degree.  The leading coefficient is the coefficient in front of the term with the highest degree. YOU TRY! Rearrange the following polynomials in standard form AND identify the leading coefficient. 1)3x 2 +4x 5 -7x 1)5y-9-2y 4 -6y 3 WHAT IS IMPORTANT ABOUT STANDARD FORM?

1)(2x 2 +5x-7) + (3-4x 2 +6x) 2)(3y+y 3 -5) + (4y 2 -4y+2y 3 +8) 3)(5x 2 -3x+4) + (6x-3x 2 -3) ADDING POLYNOMIALS

1)(3-2x+2x 2 ) – (4x-5+3x 2 ) 2)(7p+4p 3 -8) – (3p+2-9p) 3)(4x 3 -3x 2 +6x-4) – (-2x 3 +x 2 -2) SUBTRACTING POLYNOMIALS

ACTIVITY TIME! 1)You will work with the person sitting next to you. 2)Send one person up to a get a bag with cards and a penny in it. 3)Remove the cards from the bag, and place them visibly on your desk. 4)Create THREE polynomials. 5)Flip the penny:  If the penny lands on heads, you will add your two polynomials together.  If the penny lands on tails, you will subtract your two polynomials. 6)Continue in the same fashion, but create different polynomials each time.

Homework:  Complete the 8.1 Practice Worksheet…cross out #16!  Remember to write this assignment on your homework calendar! END OF LESSON