SEMESTER 1 FINALS (ALGEBRA 2A)

The result is \( x^3 + 8x^2 + 20x + 25 \).

The solutions are \( j=0 \) and \( j=9 \).

The solutions are \( u=2 \) and \( u=-8 \).

The value of \( c \) is \( -24 \).

The values are \( a=4, b=-8, c=-3 \).

The standard form is \( ax^2 + bx + c = 0 \).

The vertex can be found using the formula \( \left( -\frac{b}{2a}, f\left(-\frac{b}{2a}\right) \right) \).

The quadratic formula is \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \).

The discriminant \( b^2 - 4ac \) indicates the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

The factored form is \( a(x - r_1)(x - r_2) \), where \( r_1 \) and \( r_2 \) are the roots.