Ex 12.3, 2 (ii) - Chapter 12 Class 8 Factorisation

Last updated at Dec. 16, 2024 by Teachoo

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Ex 12.3, 2 (Method 1) Divide the given polynomial by the given monomial. (ii) (3𝑦^8 – 4𝑦^6 + 5𝑦^4) ÷ 𝑦^43𝑦^8 – 4𝑦^6 + 5𝑦^4 = (3𝑦^4×𝑦^4 ) − (4y^2×𝑦^4 )+(5×y^4) Taking 𝑦^4 common = 𝑦^4 (3𝑦^4 − 4𝑦^2+5) Dividing (3𝑦^8 − 4𝑦^6 + 5𝑦^4)/𝑦^4 = (𝑦^4 (3𝑦^4 − 〖4𝑦〗^4 + 5))/𝑦^4 = 𝟑𝒚^𝟒 − 𝟒𝒚^𝟐 + 𝟓 Ex 12.3, 2 (Method 2) Divide the given polynomial by the given monomial. (ii) (3𝑦^8 – 4𝑦^6 + 5𝑦^4) ÷ 𝑦^4 (3𝑦^8 − 4𝑦^6 + 5𝑦^4)/𝑦^4 = (𝟑𝒚^𝟖)/𝒚^𝟒 −〖𝟒𝒚〗^𝟔/𝒚^𝟒 +(𝟓𝒚^𝟒)/𝒚^𝟒 = 3×𝑦^(8 − 4)− 4× 𝑦^(6 − 4)+5×𝑦^(4 − 4) = 3×𝑦^4− 4× 𝑦^2+〖5𝑦〗^0 = 〖𝟑𝒚〗^𝟒 − 𝟒𝒚^𝟐+𝟓 (𝐴𝑠 𝑎^𝑚/𝑎^𝑛 =𝑎^(𝑚 − n) ) (As 𝑎^0=1)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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