🧮 algebra
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Factor Quadratic
Problem: Factor $x^2 + 5x - 6$.
1. Identify the coefficients for the quadratic in the form $ax^2 + bx + c$: we have $a=1$, $b=5$, and $c=-6$.
Logarithm Change Base
1. **Stating the problem**: Given $\log_4 x = y$, where $x > 0$, find:
a) $\log_2 x$
Line Equations
1. The problem asks for equations of lines passing through the point $(2, -5)$ under different conditions.
2. (a) A line with slope $-3$ passing through $(2,-5)$:
Factor Quadratic
1. The problem is to factor the quadratic expression $$x^2 + 5x + 6$$.
2. We look for two numbers that multiply to the constant term 6 and add up to the coefficient of the linear t
Factor X Squared
1. The problem is to factor the expression $x^2$.
2. Notice that $x^2$ is a perfect square since it is $x$ multiplied by itself.