Algebra · Chapter 7 of 20

Polynomials

12 curated · 37 from open sources

Curated

#	Title	Difficulty	Tags
1203	Symmetric Product of Linear Forms	Deep	algebraic identitycube roots of unity+1
1286	Symmetric Quartic Equation	Deep	symmetric equationssubstitution+1
1301	Fourth Degree Polynomial Equation	Deep	Polynomial factorizationCompleting the square
1302	Cubic Equation	Deep	Cubic equationsFactorization
1556	Thirds of Trinomial Expansion Coefficients	Deep	cube roots of unitypolynomial expansion+1
1726	Condition for Quadratic Factorability	Deep	undetermined coefficientsfactorization+1
1727	Sum of Products of Powers	Deep	symmetric functionsseries of powers
1757	Homogeneous products of three variables	Deep	generating functionspartial fractions+1
1825	Weighted Sum of Coefficients	Deep	polynomial differentiationidentities
1898	Symmetric functions of powers	Deep	Symmetric functionsGeometric series
1904	Algebraic Identity Verification	Deep	algebraic identitiespolynomial manipulation
1907	Identity with fourth powers	Deep	Algebraic identitiesSymmetric functions

From open sources

Showing everything, including problems with no answer to check, a missing figure, or a near-copy elsewhere. Show only complete problems

#	Title	Difficulty
102006	Zeros of Polynomial Functions · Exercise 72	Deep
99671	Polynomials · Exercise 55	Deep
99673	Polynomials · Exercise 57	Deep
101729	Power Functions and Polynomial Functions · Exercise 68	Deep
101731	Power Functions and Polynomial Functions · Exercise 70	Deep
101733	Power Functions and Polynomial Functions · Exercise 72	Deep
101903	Dividing Polynomials · Exercise 65	Deep
101905	Dividing Polynomials · Exercise 69	Deep
102008	Zeros of Polynomial Functions · Exercise 74	Deep
102115	Rational Functions · Exercise 88	Deep
102117	Rational Functions · Exercise 90	Deep
102119	Rational Functions · Exercise 92	Deep
102203	Inverses and Radical Functions · Exercise 61	Deep
102205	Inverses and Radical Functions · Exercise 63	Deep
102207	Inverses and Radical Functions · Exercise 65	Deep
107170	Power Functions and Polynomial Functions · Exercise 61	Deep
107172	Power Functions and Polynomial Functions · Exercise 63	Deep
107174	Power Functions and Polynomial Functions · Exercise 65	Deep
99672	Polynomials · Exercise 56	Deep
101730	Power Functions and Polynomial Functions · Exercise 69	Deep
101732	Power Functions and Polynomial Functions · Exercise 71	Deep
101904	Dividing Polynomials · Exercise 66	Deep
102005	Zeros of Polynomial Functions · Exercise 71	Deep
102007	Zeros of Polynomial Functions · Exercise 73	Deep
102009	Zeros of Polynomial Functions · Exercise 75	Deep
102116	Rational Functions · Exercise 89	Deep
102118	Rational Functions · Exercise 91	Deep
102204	Inverses and Radical Functions · Exercise 62	Deep
102206	Inverses and Radical Functions · Exercise 64	Deep
102278	Modeling Using Variation · Exercise 52	Deep
102279	Modeling Using Variation · Exercise 53	Deep
102280	Modeling Using Variation · Exercise 54	Deep
102281	Modeling Using Variation · Exercise 55	Deep
102282	Modeling Using Variation · Exercise 56	Deep
107171	Power Functions and Polynomial Functions · Exercise 62	Deep
107173	Power Functions and Polynomial Functions · Exercise 64	Deep
107243	Modeling Using Variation · Exercise 46	Deep