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Adding and Subtracting Polynomials
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Algebra 1 Definition: Term: Terms are groups of numbers and/or variables "glued" together by Mu • Hiplication Terms are separated by addition and/or subtraction Number of Terms Naming of Polynomials: Polynomials are just groups of terms that follow a certain criteria. 1 1. The exponents of the variable must be a positive whole 2. The variables themselves cannot be in the denominator of a fraction. With those two criteria, we can classify polynomials simply on the number of terms. Name of Polynomial 2 3 4+ Adding and Subtracting Polynomials Notes Degree 0 1 Example of terms: 3-4x+92x²yz Vocab: The degree of a polynomial is the 2 3 monomial binomial trinomial Polynomial Standard Form: Standard form: The exponents of the variables go from biggest to smallest. Polynomials are also categorized by their degrees. 3 terms total biggest Name of Polynomial Constant Linear Quadratic Cubic Example 4x number 3x² +3 5-3x³ +9x6 3x²-5+4x-9x³ + x² exponent on the variable within a polynomial. Example 2 4x-1 3x² - 6x +1 x³ - 2x² +6x+1 Adding and Subtracting Polynomials The big "secret" to adding polynomials is Vocab: Like Terms: Terms that have the same variable component. Example of like terms: -2x, 5x 2 7x², 9x² 2 3xyz, 10xy² Combining ·³+x²³ - 5x² + 2x² + 8x - 4x 3 3x 3 3x² + 4x 4x Hint: When adding polynomials start with the highest exponent and go downwards Examples: (3x³-5x² +8x)+(x²+2x² −4x) Examples: (-2x¹ +6x² +5)-(-2x¹ +5x² +1) 2 2 = 2x²₁² + bx²³² +5+2x² - 5x²-1 Like -2x²+2x4+6x² - 5x² +5-1 x² +4 Non-Examples 3х, Зу 5x²y - 4xy ² Hint: When subtracting polynomials, if you have a hard time with subtraction you can always add the...
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Alternative transcript:
opposite, aka distribute in the negative terms (8x + 2x¹ -6x³)+(2x³ -5x-4x³) 2x-6x²³³ +2x 3-4x²³ +8x-5x 2x4 -8x³+3x (-4x² −6+3x³)(x + 7x² + 2x³) -4x²-6+3x³-x-7x²-2x³ 3x3-2x3-4x 2 7x²-x=6 2 x ²³-11x²-x-6
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Algebra 1 Definition: Term: Terms are groups of numbers and/or variables "glued" together by Mu • Hiplication Terms are separated by addition and/or subtraction Number of Terms Naming of Polynomials: Polynomials are just groups of terms that follow a certain criteria. 1 1. The exponents of the variable must be a positive whole 2. The variables themselves cannot be in the denominator of a fraction. With those two criteria, we can classify polynomials simply on the number of terms. Name of Polynomial 2 3 4+ Adding and Subtracting Polynomials Notes Degree 0 1 Example of terms: 3-4x+92x²yz Vocab: The degree of a polynomial is the 2 3 monomial binomial trinomial Polynomial Standard Form: Standard form: The exponents of the variables go from biggest to smallest. Polynomials are also categorized by their degrees. 3 terms total biggest Name of Polynomial Constant Linear Quadratic Cubic Example 4x number 3x² +3 5-3x³ +9x6 3x²-5+4x-9x³ + x² exponent on the variable within a polynomial. Example 2 4x-1 3x² - 6x +1 x³ - 2x² +6x+1 Adding and Subtracting Polynomials The big "secret" to adding polynomials is Vocab: Like Terms: Terms that have the same variable component. Example of like terms: -2x, 5x 2 7x², 9x² 2 3xyz, 10xy² Combining ·³+x²³ - 5x² + 2x² + 8x - 4x 3 3x 3 3x² + 4x 4x Hint: When adding polynomials start with the highest exponent and go downwards Examples: (3x³-5x² +8x)+(x²+2x² −4x) Examples: (-2x¹ +6x² +5)-(-2x¹ +5x² +1) 2 2 = 2x²₁² + bx²³² +5+2x² - 5x²-1 Like -2x²+2x4+6x² - 5x² +5-1 x² +4 Non-Examples 3х, Зу 5x²y - 4xy ² Hint: When subtracting polynomials, if you have a hard time with subtraction you can always add the...
Algebra 1 Definition: Term: Terms are groups of numbers and/or variables "glued" together by Mu • Hiplication Terms are separated by addition and/or subtraction Number of Terms Naming of Polynomials: Polynomials are just groups of terms that follow a certain criteria. 1 1. The exponents of the variable must be a positive whole 2. The variables themselves cannot be in the denominator of a fraction. With those two criteria, we can classify polynomials simply on the number of terms. Name of Polynomial 2 3 4+ Adding and Subtracting Polynomials Notes Degree 0 1 Example of terms: 3-4x+92x²yz Vocab: The degree of a polynomial is the 2 3 monomial binomial trinomial Polynomial Standard Form: Standard form: The exponents of the variables go from biggest to smallest. Polynomials are also categorized by their degrees. 3 terms total biggest Name of Polynomial Constant Linear Quadratic Cubic Example 4x number 3x² +3 5-3x³ +9x6 3x²-5+4x-9x³ + x² exponent on the variable within a polynomial. Example 2 4x-1 3x² - 6x +1 x³ - 2x² +6x+1 Adding and Subtracting Polynomials The big "secret" to adding polynomials is Vocab: Like Terms: Terms that have the same variable component. Example of like terms: -2x, 5x 2 7x², 9x² 2 3xyz, 10xy² Combining ·³+x²³ - 5x² + 2x² + 8x - 4x 3 3x 3 3x² + 4x 4x Hint: When adding polynomials start with the highest exponent and go downwards Examples: (3x³-5x² +8x)+(x²+2x² −4x) Examples: (-2x¹ +6x² +5)-(-2x¹ +5x² +1) 2 2 = 2x²₁² + bx²³² +5+2x² - 5x²-1 Like -2x²+2x4+6x² - 5x² +5-1 x² +4 Non-Examples 3х, Зу 5x²y - 4xy ² Hint: When subtracting polynomials, if you have a hard time with subtraction you can always add the...
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Stefan S, iOS User
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SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
opposite, aka distribute in the negative terms (8x + 2x¹ -6x³)+(2x³ -5x-4x³) 2x-6x²³³ +2x 3-4x²³ +8x-5x 2x4 -8x³+3x (-4x² −6+3x³)(x + 7x² + 2x³) -4x²-6+3x³-x-7x²-2x³ 3x3-2x3-4x 2 7x²-x=6 2 x ²³-11x²-x-6