This document discusses classifying and manipulating polynomials. It defines a monomial as an expression with a single term, and notes that the degree of a polynomial is the largest degree of its monomial terms. Examples are given of adding and subtracting polynomials by combining like terms. Multiplying polynomials is demonstrated through distributing and combining like terms.
Are you scared of that algebraic sums? Just view this presentation an you can learn about each and every algebraic identities. Just view this and Now take full marks in your tests..
Are you scared of that algebraic sums? Just view this presentation an you can learn about each and every algebraic identities. Just view this and Now take full marks in your tests..
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An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
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This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
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2. Classifying A monomial is an expression with a single term. It is a real number, a variable, or the product of real numbers and variables. For example, 4 , 3x2and 15xy3 are all monomials.
3. Classifying The degree of a polynomial is the largest of the degrees of its monomial terms. A polynomial can be arranged in ascending order. The polynomial3 + 12x - xy + 7x2y + y5 -12x3y3 is written in ascending order as -12x3y3 + y5 +7x2y - xy + 12x + 3 is written in descending order.
4. Classifying - Examples 2p4 + p3 -10a 2x2 Answers: # of terms: 2, degree: 4 # of terms: 1, degree: 1 # of terms: 1, degree: 2
5. Adding & Subtracting Simplify (2x + 5y) + (3x – 2y) I'll clear the parentheses, group like terms, and then simplify: (2x + 5y) + (3x – 2y) = 2x + 5y + 3x – 2y = 2x + 3x + 5y – 2y = 5x + 3y
6. Adding & Subtracting Simplify (3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4) Horizontally (3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4) = 3x3 + 3x2 – 4x + 5 + x3 – 2x2 + x – 4 = 3x3 + x3 + 3x2 – 2x2 – 4x + x + 5 – 4 = 4x3 + 1x2 – 3x + 1 Vertically 3x3 + 3x2 – 4x + 5 +x3 – 2x2 + x - 4 4x3 + 1x2 - 3x + 1 Either way you get the same answer
