Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks to factor the expression $9x^2 - 49$ using the difference of squares factorization.
Difference of SquaresFactorizationAlgebraic Expressions
2025/3/25
The problem asks to factor the polynomial $x^3 + 5x^2 + 4x + 20$.
Polynomial FactorizationFactoring by GroupingQuadratic Formula
2025/3/25
The floor of a shed has an area of 104 square feet. The floor is in the shape of a rectangle whose l...
Word ProblemQuadratic EquationsAreaRectangle
2025/3/25
We are asked to divide the polynomial $45x^4 - 9x^3 + 27x^2$ by the monomial $-9x$.
Polynomial DivisionMonomialAlgebraic Manipulation
2025/3/25
The problem asks us to factor the polynomial $2a^2 - 7a + 5$ using the grouping number method.
Polynomial FactorizationGrouping MethodQuadratic Polynomials
2025/3/25
The problem asks us to factor out the greatest common factor from the expression $7x(a+8b) + (a+8b)$...
FactoringGreatest Common FactorAlgebraic Expressions
2025/3/25
The problem asks us to find the roots of the quadratic equation $12x^2 - 5 = 17x$. We need to expres...
Quadratic EquationsFactoringRoots of Equations
2025/3/25
The problem requires us to multiply the two binomials $(5x + 6)$ and $(8x + 1)$ and simplify the res...
PolynomialsBinomial MultiplicationExpanding ExpressionsSimplification
2025/3/25
Factor the expression $7x^2 - 35x$ completely, factoring out the greatest common factor.
FactoringGreatest Common FactorPolynomials
2025/3/25
The problem asks us to factor the expression $12a^3b - 27ab^3$.
FactoringPolynomialsGreatest Common FactorDifference of Squares
2025/3/25