Adding & Subtracting Polynomials

Mar 6, 20071 like2,321 views

This document discusses two methods for adding and subtracting polynomials: 1) The horizontal method involves grouping like terms together and keeping the signs with each term. 2) The vertical method lines up like terms and keeps the signs with each term. To subtract polynomials, change all the signs in the second set and then add the polynomials as if it were an addition problem. Either the horizontal or vertical method can be used, depending on how the problem is laid out.

Adding & Subtracting Polynomials Two methods: Horizontal Vertical

Adding Polynomials Horizontal. Group the like terms together. Using a color can be helpful. Remember that the sign in front of the number stays with the number.

Adding Polynomials (2x 2 – 3x + 4) + (3x 2 + 2x – 3) ( 2x 2 + 3x 2 ) + ((– 3x) + 2x) + ( 4 + (– 3) ) 5x 2 – x + 1

Adding Polynomials Vertical Line up the like terms. Remember that the sign in front of the number stays with the number. You may have to rearrange the terms to line them up.

Adding Polynomials 2x 2 – 3x + 4 3x 2 + 2x – 3 5x 2 – 1x + 1

Subtracting Polynomials When you are subtracting, go ahead and change all the signs in the second set.

Subtracting Polynomials - Horizontal (7x 3 – 3x + 1) - (x 3 + 4x 2 – 2) (7x 3 – 3x + 1) + (-x 3 - 4x 2 + 2) Now it becomes an addition problem (7x 3 – x 3 ) + (-4x 2 ) + (-3x) + (1 + 2) 6x 3 – 4x 2 – 3x + 3

Subtracting Polynomials - Vertical (7x 3 – 3x + 1) - (x 3 + 4x 2 – 2) (7x 3 – 3x + 1) + (-x 3 - 4x 2 + 2) Now it becomes an addition problem 7x 3 – 3x + 1 -x 3 - 4x 2 + 2 6x 3 -4x 2 - 3x +3

Horizontal or Vertical Both horizontal and vertical have their place. You can decide which one to use based on the way the problem is laid out.

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Our pre-recorded webinar 'Company Valuation: The data and stories emerging from the last 3 months of UK valuations' is now available to watch on demand. Alongside the webinar, we also discuss international tariffs and their impact on business models in more detail. Understanding the quarterly trends of valuation multiples across the market is vital when making any strategic decision for the long-term future of your business, whether planning a future sale, M&A, identifying growth opportunities to maximise valuation or even for tax reporting purposes. With substantial experience valuing SME businesses in a variety of sectors, the Strategic Corporate Finance team at Price Bailey provide an in-depth quarterly valuation webinar using the very latest market data, in partnership with MarkToMarket, to analyse UK M&A transaction multiples, evaluate interesting trends across various sectors and review the sentiment towards valuation multiples. This session provides an update as to the latest valuation data in the UK. Simon, Chand and Eleanor also sit down to discuss the recent updates to international tariffs and how from their experience, they are seeing businesses adapt their business models in relation to these changes.

Presented By NAVEENA | Digital Marketingbnaveena69

Fillip Kosorukov - Passionate About TradingFillip Kosorukov

M. Muhammed - Petroleum Fiscal Systems and Contracts (2010).pdfSudkateBoonthaworn1

Incentivizing Gen Z Transactions: A FamPay Product Strategy TeardownNayan Kumar

This product teardown examines FamPay's opportunity to transform household spending patterns in India by shifting financial responsibility from parents to teenagers. We'll analyze the untapped potential of India's 253 million adolescents who collectively control spending power equivalent to the GDP of 52 countries. The case study will evaluate FamPay's current product architecture, identify key opportunities in the teenage financial ecosystem, and propose strategic product enhancements to increase teen participation in household transactions. Our analysis will include specific recommendations for improving FamStore's product discovery features, implementing recurring payment systems, and designing incentive structures aligned with major household spending categories. The ultimate goal: creating a roadmap for FamPay to capture greater transaction value while fostering financial independence among India's next generation.

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