7.1 – Adding & Subtracting Polynomials

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Presentation transcript:

7.1 – Adding & Subtracting Polynomials Happy Valentine’s Day 7.1 – Adding & Subtracting Polynomials

Monomial – is a number or a variable, or the product of both. Ex. 8 -2x 3x2y 1x2 2 Degree of a monomial – the sum of the exponents of the variables in the monomial. Ex. 8 0 degree -2x 1 degree 3x2y 3 degree 1x2 2 degree

Try It Out!!! State the degree of the monomial. 1) -5x4 5) 4p 2) 1b3 6) -10 2 3) 12 7) -3a5 4) 6x3 1) 4th degree 2) 3rd degree 3) 0 degree 4) 3rd degree 5) 1st degree 6) 0 degree 7) 5th degree

Identifying Polynomials Polynomial – a monomial or a sum of monomials Identifying Polynomials Polynomial – a monomial or a sum of monomials Ex. 4x3 x3-8 7x2-4x+6 Degree of a Polynomial – the degree of the term with the largest exponent. Polynomial 6 3x+1 x2-x-5 4x3-8x Degree 1 2 3 Identified by Degree Constant Linear Quadratic Cubic Identified by Number Of Terms Monomial Binomial Trinomial

Adding Polynomials Process: Combine like terms. a. (5x3-2x+x2+7) + (3x2+7-4x) 5x3 + x2 - 2x + 7 3x2 - 4x + 7 5x3+4x2-6x+14 b. (x2+3x+2)+(2x2-4x+2) 3x2-x+4 c. (8x2-2x+4)+(4x2-1-3x3) 8x2-2x+4 -3x3 +4x2 -1 -3x3+12x2-2x+3

Subtracting Polynomials Process: Distribute the negative sign & then combine like terms. Ex. (-2x3+x2-4x+8) - (-2x3+3x-4) -2x3+x2-4x+8+2x3-3x+4 x2-7x+12