Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We are asked to analyze two quadratic equations: $y = x^2 + 8x + 15$ and $y = -2x^2 - 8x - 6$. For e...

Quadratic EquationsParabolaInterceptsVertexGraphing
2025/6/4

The image presents a set of quadratic equations that need to be solved by factoring. I will solve pr...

Quadratic EquationsFactorizationSolving Equations
2025/6/4

The problem is to solve the quadratic equation $7x^2 + 42x - 49 = 0$ by factoring.

Quadratic EquationsFactoringEquation Solving
2025/6/4

The problem asks us to compute the first five terms of the sequence {$c_n$} defined by the formula $...

SequencesArithmetic SequencesFormula Evaluation
2025/6/4

We are asked to solve the equation $-x - 2 = 0$ for $x$.

Linear EquationsSolving EquationsVariables
2025/6/4

We are asked to solve the following quadratic equations by factoring: 3) $6a^2 - 18a - 108 = 0$ 4) $...

Quadratic EquationsFactoringAlgebraic Manipulation
2025/6/4

The problem asks us to identify whether the coefficients of each given quadratic expression have a c...

Quadratic ExpressionsFactoringGreatest Common Divisor (GCD)
2025/6/4

We are asked to factor the quadratic $2x^2 + 12x + 16$ in two different ways, without starting from ...

Quadratic EquationsFactorizationAlgebraic Manipulation
2025/6/4

We are asked to solve the following quadratic equations: 5) $6m^2 + 12m - 48 = 0$ 6) $3x^2 - 15x - 1...

Quadratic EquationsFactoringSolving Equations
2025/6/4

We are asked to solve the quadratic equations in the image. Let's solve problem 5. The equation is $...

Quadratic EquationsFactoringSolving Equations
2025/6/4