Math 7 – adding and subtracting polynomials
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This document discusses adding and subtracting polynomials. It begins by reviewing key concepts like the addition and subtraction rules. It then defines the degree of a monomial and polynomial. Examples are provided to classify polynomials as monomials, binomials, trinomials or neither. The document emphasizes that adding or subtracting polynomials involves combining like terms that have the same variables and exponents. Steps provided include grouping like terms, performing the operation, and arranging the final answer in descending order by degree.
Math 7 – adding and subtracting polynomials
- 1. Math 7 – Adding and Subtracting Polynomials Ms. Andi Fullido © Quipper And Teacher Andi’s Brain
- 2. Let’s review: •Addition Rules? •LASS? •USB? •Subtraction Rules? •Copy-change-change •Follow addition rules
- 3. Degree of a monomial?
- 4. Degree of a polynomial
- 5. Polynomials: Monomial, Trinomial, Binomial, or NOTA? 1. 5x4 – 3x2 + x-1 2. 3x2 – 5x + 2 3. 2√x – 5x2 4. 7x – 2 𝑥2 5. 5xy – 4 5 y2 6. 4𝑥 1 2 − 2𝑥
- 6. Polynomials: Monomial, Trinomial, Binomial, or NOTA? 1. 5x4 – 3x2 + x-1 – NOTA 2. 3x2 – 5x + 2 – Polynomial – Trinomial 3. 2√x – 5x2 – NOTA 4. 7x – 2 𝑥2 - NOTA 5. 5xy – 4 5 y2 – Polynomial – Binomial 6. 4𝑥 1 2 − 2𝑥 - NOTA
- 7. Polynomials: Monomial, Trinomial, Binomial, or NOTA? 1. 5x4 – 3x2 + x-1 – NOTA 2. 3x2 – 5x + 2 – Polynomial – Trinomial 3. 2√x – 5x2 – NOTA 4. 7x – 2 𝑥2 - NOTA 5. 5xy – 4 5 y2 – Polynomial – Binomial 6. 4𝑥 1 2 − 2𝑥 - NOTA
- 8. Polynomials: Monomial, Trinomial, Binomial, or NOTA? 1. 5x4 – 3x2 + x-1 – NOTA - The exponent -1 is not a “nn” integer2√x – 5x2 – NOTA 1. 7x – 2 𝑥2 - NOTA 2. 5xy – 4 5 y2 – Polynomial – Binomial 3. 4𝑥 1 2 − 2𝑥 - NOTA
- 9. Polynomials: Monomial, Trinomial, Binomial, or NOTA? 1. 5x4 – 3x2 + x-1 – NOTA 2. 3x2 – 5x + 2 – Polynomial – Trinomial 3. 2√x – 5x2 – NOTA - A variable inside the radicand means it has a fraction as an exponent 1. 5xy – 4 5 y2 – Polynomial – Binomial
- 10. Polynomials: Monomial, Trinomial, Binomial, or NOTA? 1. 5x4 – 3x2 + x-1 – NOTA 2. 3x2 – 5x + 2 – Polynomial – Trinomial 3. 2√x – 5x2 – NOTA 4. 7x – 2 𝑥2 - NOTA - There is a variable in the denominator 1. 4𝑥 1 2 − 2𝑥 - NOTA
- 11. Polynomials: Monomial, Trinomial, Binomial, or NOTA? 1. 5x4 – 3x2 + x-1 – NOTA 2. 3x2 – 5x + 2 – Polynomial – Trinomial 3. 2√x – 5x2 – NOTA 4. 7x – 2 𝑥2 - NOTA 5. 5xy – 4 5 y2 – Polynomial – Binomial 6. 4𝑥 1 2 − 2𝑥 – NOTA – the exponent is a fraction
- 12. So sorry! • The bases are:
- 13. Prompt •Addition and subtraction of polynomials mainly involve addition and subtraction of the coefficients of similar (like) terms. The terms in a polynomial are similar if its variables (and exponents) are the same. Terms with similar variables but different exponents are dissimilar (unlike).
- 14. Similar and Dissimilar •4xy and 3xy
- 15. Similar and Dissimilar •4xy and 3xy
- 16. Similar and Dissimilar •4xy and 3xy •7xy2 and 5x3
- 17. Similar and Dissimilar •4xy and 3xy •7xy2 and 5x3
- 18. Similar and Dissimilar •4xy and 3xy •7xy2 and 5x3 •2x2 and -4x
- 19. Similar and Dissimilar •4xy and 3xy •7xy2 and 5x3 •2x2 and -4x
- 20. Similar and Dissimilar •4xy and 3xy •7xy2 and 5x3 •2x2 and -4x •-3x2 and 5x2
- 21. Similar and Dissimilar •4xy and 3xy •7xy2 and 5x3 •2x2 and -4x •-3x2 and 5x2
- 22. Steps in adding or subtracting: 1. Group terms that are similar (like). How do we know if it’s similar or like? Check if VARIABLE and EXPONENT are the SAME. 2. Operate. 3. Arrange in descending order, according to degree. 4. Box final answer :D
- 23. Gets? 1. Pagsama-samahin ang like terms. Paano malalaman kung like? Tingnan kung PAREHO ang EXPONENT at VARIABLE. 2. I-add o i-subtract, o i-add at i-subtract. 3. Ayusin ayon sa degree ng polynomial, mataas - mababa 4. Kahunan ang final answer :D