Compute $\sqrt{8}\cdot \sqrt{2}$ using the product property of radicals.

Solve $x^2=72$ and simplify.

Solve $2(x-3{)}^2+10=0$.

Solve $2x^2+8x+5=0$ by completing the square.

A ball's height, in units of feet, is given by: $h\left(t\right)=-16t^2+64t+80$, where $t$ is in units of seconds. Use completing the square to find the time when the ball reaches its maximum height.

When deriving the quadratic formula by completing the square on $a{x}^2+bx+c=0$, which step justifies introducing the term ${\left(\frac{b}{2a}\right)}^2$ into the equation?

Use the quadratic formula to solve $x^2-4x+3=0$.

Solve $x^2+6x+1=0$ using the quadratic formula.

Solve $2x^2+4x+7=0$ and give the roots in simplest $a+bi$ form.

Which of the following best describes the graph of any quadratic function $y=a{x}^2+bx+c$, with $a\ne 0$?

Expand $y=2(x+3{)}^2-5$ into standard form $y=a{x}^2+bx+c$, and identify $a$, $b$, and $c$.

Convert the quadratic: y = x² − 6x + 5 into vertex form by completing the square, and identify the vertex.