🧮 algebra

1. **Problem statement:** Given the function $h(x) = 7x^4 - 10^3 + 3^2 + 3x -3$ and knowing that one zero of $h(x)$ is $x=1$, find the remaining zeros. 2. **Simplify the polynomial

1. لنبدأ بفهم المعطيات: لدينا $x_1=8$ و $x=4$. 2. المطلوب هو إيجاد قيم التعبيرات التالية: $-x$ و $+x$.

1. $\text{Problem: }x^2-5x+6=0.$ 2. $x^2-5x+6=(x-2)(x-3).$

1. **Énoncé:** Factorisez les expressions A, B, C et D. 2. **Expression A:**

1. **Stating the problem:** IGI Fashion company outsources pants costing P120 each.

1. Stating the problem: Solve the system of equations by eliminating $x$ first: $$4x - 4y = 4$$

Problem: Solve for $x$ in $2x+3=7$. 1. Write the equation: $2x+3=7$.

1. **State the problem:** Verify whether the equation $2 \times (5 \times 2) = (2 \times 5) \times 2$ holds true. 2. **Evaluate the left-hand side (LHS):**

1. You asked for the value of $k$, but no specific equation or context was given. 2. To solve for $k$, we need an equation or expression involving $k$.

1. The problem is to find the inverse function of $f(x)=3x-4$. 2. To find the inverse function, replace $f(x)$ with $y$:

1. **State the problem:** Prove that for every positive integer $n$, the sum $$\sum_{k=1}^n \frac{1}{(k+2)(k+3)} = \frac{n}{3n+9}.$$

1. Stating the problem: Simplify the algebraic expression $$\frac{x^2(x+2)(x-4)}{6x(x^2+x-20)}.$$\n\n2. Factor the quadratic in the denominator: \n$$x^2+x-20 = (x+5)(x-4).$$\n\n3.

1. The problem asks first to find the values of $a$ and $b$ given the function $g(x) = ax + b$ and the graph is a straight line positioned at the center of the image. Since no spec

1. The problem gives fg(x) = ax + b and asks to find values of a and b. 2. However, there are no further equations or data relating to f(x) or g(x) to determine a and b.

1. First, state the problem: Solve the simultaneous equations \(3x + 2y = 7\) and \(2x + 9y = 43\) by eliminating \(x\) first. 2. To eliminate \(x\), find the least common multiple

1. Solve equation: $$\frac{m}{2} + \frac{m}{3} + 3 = 2 + \frac{m}{6}$$ Multiply both sides by 6 (LCM of denominators) to clear fractions:

1. The user asks if a system of equations can be solved by eliminating $x$ first. 2. Yes, solving by elimination involves adding or subtracting equations to remove one variable, al

1. The problem asks us to graph the logarithmic function $$g(x) = -\log_4 x + 1$$ and plot two points as well as the vertical asymptote. 2. The logarithmic function $$\log_4 x$$ ha

1. Masalah ini meminta kita mencari nilai $n$ berdasarkan kondisi yang tidak diberikan secara eksplisit. 2. Untuk membantu, kita perlu tahu persamaan atau informasi yang melibatkan

1. The problem is unclear as "ythA = 5/4" and "founB = 9/4" appear as variable statements without explicit instructions. 2. Assuming the problem relates to simplifying or solving e

1. The problem states that a gold necklace chain has 37.5 grams of gold and pure gold is 24 carats. 2. We need to find the carat value of this necklace chain given the amount of go