standard_description: Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.
problem_activity: Find the roots by factoring each of the following quadratic equations.
Additionally, for each equation, identify:
If the function has symmetry around the
y
-axis
If the root is a double root and the same as the vertex
The
y
-intercept
The vertex
a.
$${3x^2-27=0}$$
b.
$${2x^2+7x-15=0}$$
c.
$${4x^2-10x+25=0}$$


aligns: no