最新の問題
クインケ管において、管Bを完全にいれた状態から0.17 m引き出したときに音が最小になった。管の内部を伝わる音の速さが $3.4 \times 10^2$ m/sであるとき、音の波長$\lambda$...
波動干渉音響波長振動数物理
2025/3/21
The problem asks to find one root of the equation $x^3 + 2x - 3x^2 - 6 = 0$. The possible roots are ...
Polynomial EquationsRootsCubic EquationsTesting Roots
2025/3/20
The problem asks which of the following binomials is a factor of the polynomial $x^3 - 6x^2 + 11x - ...
PolynomialsFactor TheoremPolynomial FactorizationRoots of Polynomials
2025/3/20
The problem asks to find one root of the cubic equation $x^3 + 2x - 3x^2 - 6 = 0$ from the given opt...
Polynomial EquationsCubic EquationsRoot FindingFactorization
2025/3/20
We are asked to find the remainder when the polynomial $x^2 + 3x$ is divided by $x$.
Polynomial DivisionRemainder TheoremPolynomial Factorization
2025/3/20
The problem asks us to find the remainder when the polynomial $x^4 + 2x^2 - 3x + 7$ is divided by $x...
PolynomialsRemainder TheoremPolynomial Division
2025/3/20
The problem asks us to find which of the given binomials is a factor of the polynomial $x^3 - 6x^2 +...
PolynomialsFactor TheoremPolynomial Factorization
2025/3/20
The problem asks to determine the completely factored form of the polynomial $f(x) = x^3 + 5x^2 - x ...
Polynomial FactorizationFactoring by GroupingDifference of SquaresCubic Polynomials
2025/3/20
We are given that $x=2$ is a root of the equation $4x^3 + kx - 24 = 0$. We need to find the value of...
Polynomial EquationsRoot of an EquationSubstitutionSolving for a Variable
2025/3/20
The problem asks: What is the maximum number of real distinct roots that a quartic equation can have...
Polynomial EquationsQuartic EquationsRootsDegree of a PolynomialReal Roots
2025/3/20