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  • IB Mathematics
    • SL Applications and Interpretation
    • HL Applications and Interpretation
    • SL Analysis and Approaches
    • HL Analysis and Approaches
    • IB Mathematics SL
    • IB Mathematical Studies SL
  • HSC Mathematics
    • Year 11 Standard
    • Year 11 Advanced
    • Year 11 Extension 1
    • Year 12 Standard 1
    • Year 12 Standard 2
    • Year 12 Advanced
    • Year 12 Extension 1
    • Year 12 Extension 2
  • Cambridge Mathematics
    • Lower Secondary
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Polynomials

Determining the Number of Real Roots of a Cubic Polynomial using Sums and Products

Determining the Number of Real Roots of a Cubic Polynomial using Sums and Products

January 26, 2021 0 comments

Determin how many of the roots (zeroes) of a cubic polynomial are real by the use of the sums and products of a polynomial.

iitutorJanuary 26, 2021 0 comments
iitutor
Polynomial Equations and Maximum Coefficients

Polynomial Equations and Maximum Coefficients

August 24, 2016 0 comments

If \( \alpha \) is a root of a polynomial equation \( P(x) = 0 \), then \( P(\alpha) = 0 \), and if \(M\) is the maximum coefficient value of \( |a_{n}|, |a_{n-1}|, |a_{n-2}|, \cdots ,|a_2|, |a_1| \) then \( nM \ge |a_{n}| + |a_{n-1}| + |a_{n-2}| + \cdots + |a_2| + |a_1| \). […]

iitutorAugust 24, 2016 0 comments
iitutor
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