Lemma

Algebra · Chapter 7 of 20

Polynomials

25 curated · 1,094 from open sources · 6.5 million generated

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6.5 million

Endless problems made on demand, each with an exactly computed answer. Every click is a new one.

Expand a product of binomialsEasy · 6.5 million variations

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25
#TitleDifficultySourceTags
751The remainder theoremEasyLemmaPolynomials
752Multiply it outEasyLemmaPolynomials
753Make it a factorEasyLemmaPolynomials
754Sum of coefficientsEasyLemmaPolynomials
1213Cubic Equation from Three RootsEasyHall & KnightPolynomial equationsRoots of polynomials+1
1378Binomial Expansion of (x-3)^5EasyHall & KnightBinomial Theorem
1379Binomial Expansion of (3x+2y)^4EasyHall & KnightBinomial Theorem
1380Binomial Expansion of (2x-y)^5EasyHall & KnightBinomial Theorem
1381Binomial Expansion of (1-3a^2)^6EasyHall & KnightBinomial Theorem
1382Binomial Expansion of (x^2+x)^5EasyHall & KnightBinomial Theorem
1383Binomial Expansion of (1-xy)^7EasyHall & KnightBinomial Theorem
1390Fourth term of binomial powerEasyHall & KnightBinomial TheoremExpansion
1391Tenth term of binomial powerEasyHall & KnightBinomial TheoremExpansion
1392Twelfth term of binomial powerEasyHall & KnightBinomial TheoremExpansion
1394Fourth term with fractionsEasyHall & KnightBinomial TheoremFractions
1402Middle term of a binomialEasyHall & KnightBinomial TheoremMiddle Term
1403Middle term of negative power binomialEasyHall & KnightBinomial TheoremMiddle Term
1728Series Expansion via Undetermined CoefficientsEasyHall & Knightundetermined coefficientspower series expansion
1729Rational Function Expansion to Cubic TermEasyHall & Knightundetermined coefficientspower series expansion
1730Ascending Power Series ExpansionEasyHall & Knightundetermined coefficientspower series expansion
1737Partial Fraction Decomposition Quadratic DenominatorEasyHall & Knightpartial fractionsrational functions
1738Partial Fraction Decomposition with Linear FactorsEasyHall & Knightpartial fractionsrational functions
1740Partial Fractions with Three Linear FactorsEasyHall & Knightpartial fractionsrational functions
1744Partial Fractions with Quadratic FactorEasyHall & Knightpartial fractionsquadratic denominator
1745Partial Fractions with Irreducible QuadraticEasyHall & Knightpartial fractionsirreducible quadratic

From open sources

1,094

Complete problems only, with worked solutions first. Show everything

#TitleDifficulty
99601Identifying the Degree and Leading Coefficient of a PolynomialEasy
99602Polynomials · Try It 1Easy
99603Adding PolynomialsEasy
99605Subtracting PolynomialsEasy
99607Multiplying Polynomials Using the Distributive PropertyEasy
99611Expanding Perfect SquaresEasy
99613Multiplying Binomials Resulting in a Difference of SquaresEasy
99615Multiplying Polynomials Containing Several VariablesEasy
99617Polynomials · Exercise 1Easy
99619Polynomials · Exercise 3Easy
101658Power Functions and Polynomial Functions · Example 1Easy
101660Power Functions and Polynomial Functions · Example 2Easy
101661Power Functions and Polynomial Functions · Example 3Easy
101668Identifying Power FunctionsEasy
101669Power Functions and Polynomial Functions · Try It 1Easy
101672Power Functions and Polynomial Functions · Try It 2Easy
101673Identifying Polynomial FunctionsEasy
101674Identifying the Degree and Leading Coefficient of a Polynomial FunctionEasy
101675Power Functions and Polynomial Functions · Try It 3Easy
101676Identifying End Behavior and Degree of a Polynomial FunctionEasy
101677Power Functions and Polynomial Functions · Try It 4Easy
101680Power Functions and Polynomial Functions · Try It 5Easy
101681Determining the Number of Intercepts and Turning Points of a PolynomialEasy
101682Power Functions and Polynomial Functions · Try It 6Easy
101683Drawing Conclusions about a Polynomial Function from the FactorsEasy
101684Power Functions and Polynomial Functions · Try It 7Easy
101685Power Functions and Polynomial Functions · Exercise 8Easy
101687Power Functions and Polynomial Functions · Exercise 10Easy
101689Power Functions and Polynomial Functions · Exercise 12Easy
101746Solve a quadratic equation by factoringEasy
101749Solve a quadratic equation by factoringEasy
101757Finding the y- and x-Intercepts of a Polynomial in Factored FormEasy
101759Graphs of Polynomial Functions · Try It 1Easy
101763Using the Intermediate Value TheoremEasy
101764Graphs of Polynomial Functions · Try It 3Easy
101766Graphs of Polynomial Functions · Try It 4Easy
101767Graphs of Polynomial Functions · Exercise 15Easy
101769Graphs of Polynomial Functions · Exercise 17Easy
101916Zeros of Polynomial Functions · Example 1Easy
101919Zeros of Polynomial Functions · Example 2Easy
101928Listing All Possible Rational ZerosEasy
101929Using the Rational Zero Theorem to Find Rational ZerosEasy
101933Zeros of Polynomial Functions · Try It 7Easy
101934Using the Linear Factorization Theorem to Find a Polynomial with Given ZerosEasy
101935Zeros of Polynomial Functions · Try It 8Easy
101937Zeros of Polynomial Functions · Try It 9Easy
101942Zeros of Polynomial Functions · Exercise 8Easy
101944Zeros of Polynomial Functions · Exercise 10Easy
102023Rational Functions · Example 1Easy
102032Rational Functions · Try It 1Easy
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