🧮 algebra

1. The problem asks to identify the type of function between options a) polynomial function and b) rational function. 2. Definitions:

1. The problem asks to identify the type of function for each given case: a) polynomial function, b) rational function, c) square root function, d) other. 2. Definitions:

1. **State the problem:** Find the roots of the cubic function $$f(x) = x^3 - 2x^2 + 4x - 8$$ and express it in intercept form. 2. **Number of roots:** A cubic polynomial has exact

1. The problem is to find the domain of the function $f(x) = \sqrt{2 - 3x + 3}$.\n\n2. The domain of a square root function requires the expression inside the root to be greater th

1. We beginnen met het uitleggen van wat een vergelijking is: een vergelijking is een wiskundige uitspraak waarin twee uitdrukkingen gelijk aan elkaar zijn, bijvoorbeeld $ax + b =

1. **State the problem:** Simplify the expression $x^2 - 9$. 2. **Recognize the formula:** This is a difference of squares, which follows the rule:

1. **Stating the problem:** We have two options for total cost depending on the number of visits. Option 1 increases linearly from about $30 at 0 visits to $100 at 14 visits. Optio

1. **State the problem:** Add the polynomials \( (3x^3 + 3x^2 - 4x + 5) + (x^3 - 2x^2 + x - 4) \). 2. **Write down the polynomials:**

1. The problem is to understand the letter 'a' as a mathematical symbol or variable. 2. In algebra, 'a' is commonly used to represent a variable or a constant.

1. **State the problem:** Simplify the algebraic fraction $$\frac{6x + 8}{2}$$. 2. **Formula and rules:** To simplify a fraction, factor the numerator and denominator and cancel co

1. **Problem Statement:** Determine whether the related functions formed from polynomials $P(x)$ and $Q(x)$ (neither constant) are polynomial functions, choosing from Always, Somet

1. **State the problem:** Solve the quadratic equation $$x^2 + 14x - 15 = 0$$. 2. **Formula and rules:** To solve a quadratic equation of the form $$ax^2 + bx + c = 0$$, we can use

1. **State the problem:** Samantha withdrew 160 from her bank account, and the new balance is 379.52. We need to find the balance before the withdrawal. 2. **Formula and explanatio

1. The problem is to understand the function where for every input $x$, the output $y$ is the original input plus 2. 2. The formula for this function is $y = x + 2$.

1. **State the problem:** We are given two functions $f(x) = \frac{3 + x}{7}$ and $h(x) = 2x + 3$. We need to find: (a) $h(4)$

1. **State the problem:** Evaluate the expression $$(-9) - (-8) + 3 \times 4^2$$. 2. **Recall order of operations:** Use PEMDAS (Parentheses, Exponents, Multiplication and Division

1. **State the problem:** Given that $q$ varies inversely as the square of $p$, and the table: | p | 2 | 10 | 18 |

1. **State the problem:** Evaluate the expression $$8 \div (-4) \times (-6)^2 + 7$$. 2. **Recall order of operations:** Use PEMDAS (Parentheses, Exponents, Multiplication and Divis

1. **State the problem:** Evaluate the expression $10 \times 3 - (-6)^2 + (-8)$.\n\n2. **Recall order of operations:** We follow PEMDAS (Parentheses, Exponents, Multiplication and

1. **State the problem:** Solve for $X$ in the equation $X = X$. 2. **Understand the equation:** The equation $X = X$ means that the variable $X$ is equal to itself.

1. **State the problem:** Solve the equation $-18 = 2a - 2|1 - 3a|$ for $a$. 2. **Understand the absolute value:** The absolute value expression $|1 - 3a|$ splits the problem into