🧮 algebra

1. Problem: Find remainder when $P(x)=x^4 - 3x^2 - 1$ is divided by $D(x)=x+2$. Since $D(x)=x+2$, use the Remainder Theorem: remainder is $P(-2)$. Calculate $P(-2)=(-2)^4 - 3(-2)^2

1. Regular Day Overtime Given: Lito earns P923.08 for 8 hours and worked 2 extra hours.

1. **Stating the problem:** We will solve equations by isolating the variable using division. 2. **Example 1:** Solve $3x=12$ for $x$.

1. **State the problem:** Calculate $3 \frac{3}{10} - 1 \frac{4}{5}$. 2. **Convert mixed numbers to improper fractions:**

1. **Stating the problem:** Solve the equation $x + 5 = 12$ using addition or subtraction. 2. To isolate $x$, subtract 5 from both sides:

1. State the problem: Solve the equation $$\frac{1}{x(x+2)} - \frac{1}{(x+1)^2} = \frac{1}{12}$$ for $x$.\n\n2. Find a common denominator on the left side. The denominators are $x(

1. The problem is to understand how to multiply integers. 2. When multiplying two integers, the sign of the product depends on the signs of the factors.

1. Problem: Simplify $$\frac{(5x - 6y)^5}{(10x - 12y)^{-3}}$$. 2. Note that $$10x - 12y = 2(5x - 6y)$$.

1. The problem is to solve the cryptarithmic equation $8\dots4\dots6 = 6\dots7\dots4$, where the dots represent missing digits to find. 2. We need to find digits that fit in the bl

1. Tentukan nilai x dari persamaan berikut: **a.** $4^{3x - 4} = \sqrt[5]{8^{5x - 2}}$

1. **State the problem:** We want to understand the system of inequalities: $$y - x < 2$$

1. **State the problem:** Simplify the expression $$\frac{3}{8} - \frac{2}{7}$$. 2. **Find a common denominator:** The denominators are 8 and 7, so the least common denominator (LC

1. The problem is to calculate $\frac{3}{5} \times 7$. 2. Recall that $7$ can be written as $\frac{7}{1}$ to make multiplication easier.

1. Stated problem: Calculate the value of $$\frac{3}{5} + 7$$. 2. Convert the integer 7 to a fraction with the same denominator as $$\frac{3}{5}$$ for easier addition: $$7 = \frac{

1. Diketahui sistem persamaan linear tiga variabel: $$\begin{cases} 2x + y + 2z = 24 \\ 3x + 3y + z = 30 \\ 2x + 3y + 3z = 38 \end{cases}$$

**Problem:** Find the equation of a line passing through the points (1, 2) and (3, 6). 1. Calculate the slope $m$ of the line using the formula:

1. Let's start by stating the problem: Solve the inequality $$-5(u - 19) \leq -11 + 2u$$. 2. Begin by distributing the -5 on the left side:

1. ප්‍රශ්නය දැක්වේ: බහුප්‍රදය $$f(x)$$ $$ (x - a)(x - b)(x - c) $$ මගින් බෙදී සිට $$P(x - b)(x - c) + q(x - a)(x - c) + r(x - a)(x - b)$$ ලෙස ලියැවිය හැකිය. මෙහිදී, $$p$$, $$q$$ හ

1. We are asked to evaluate each of the following expressions using the order of operations (GMDAS: Grouping, Multiplication/Division (left to right), Addition/Subtraction (left to

1. Stating the problem: Solve the equation $$\frac{x^2 - x}{x^2 - x + 1} - \frac{x^2 - x + 2}{x^2 - x - 2} = 1$$ for $x$. 2. Identify the denominators and find restrictions: Denomi

1. The user requested an easy math problem but did not specify a topic or type. 2. Let's provide a simple algebra example to demonstrate basic skills.