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  • IB Mathematics
    • SL Applications and Interpretation
    • HL Applications and Interpretation
    • SL Analysis and Approaches
    • HL Analysis and Approaches
  • Cambridge Mathematics
    • Lower Secondary
    • IGCSE Core
    • IGCSE Extended
    • IGCSE Additional
    • IGCSE International Core
    • IGCSE International Extended
    • IGCSE (US) Core
    • IGCSE (US) Extended
    • IGCSE (US) Additional
    • O Level
    • O Level Additional
    • International AS and A Level
    • International AS and A Level Further
  • 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
  • VCE Mathematics
    • Foundation Units 1 and 2
    • General Units 1 and 2
    • Maths Methods Units 1 and 2
    • Specialist Units 1 and 2
    • Further Units 3 and 4
    • Maths Methods Units 3 and 4
    • Specialist Units 3 and 4

Polynomials

Halving the Interval Method with Relative Accuracy

Halving the Interval Method with Relative Accuracy

July 25, 2021 0 comments

Find the smallest positive root of \( x^3 – 2x + 1 = 0 \) with relative accuracy of \( 0.5 \% \) by finding good starting value from its graph. According to the graph above, there are three roots, one negative and two positive. Let’s give \( f(x) = x^3-2x+1 \), then \( f(1) […]

iitutorJuly 25, 2021 0 comments
iitutor
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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