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Elementary algebra: polynomials, equations and inequalities · GRE Mathematics Subject Test · Courselo

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Elementary and linear algebra

Elementary algebra: polynomials, equations and inequalities

Elementary and linear algebra · Lesson 1 of 4

Lesson 1 of 4

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Unit 5

Elementary and linear algebra

4 lessons · 5 h 5 min of study

Elementary algebra: polynomials, equations and inequalitiesReading · 0%
Matrices, determinants and linear systems1 h 15 min of study
Vector spaces and linear transformations1 h 30 min of study
Eigenvalues, eigenvectors and diagonalization1 h 20 min of study

This unit is ≈14% of the GRE Math, across 4 lessons. Full syllabus

Lesson 1 of 4 · Elementary and linear algebra

Elementary algebra: polynomials, equations and inequalities

3 quick checks≈3% of the testFoundational: Foundational: the groundwork the rest of the unit builds on

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By the end you’ll be able to

Manipulate polynomial, rational, exponential and logarithmic expressions and solve equations and inequalities, including those with absolute values
Apply the factor and remainder theorems, the rational root theorem and Vieta’s formulas relating roots to coefficients
Use the binomial theorem and sum arithmetic and geometric progressions

Practice this skill

Adaptive questions on elementary algebra: polynomials, equations and inequalities.

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0% read

Solve nonlinear systems and simple functional equations

Carry out complex-number arithmetic and use the fact that non-real roots of real polynomials come in conjugate pairs

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