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

Last updated at Aug. 8, 2023 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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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