Solving Quadratics - Vocab & Methods Review

• Factoring

• Square Root

• Completing the Square

Answer explanation

REMEMBER: The Square Root Method only works when b=0. Isolate x² then take the square root on both sides.

If the answer is not an integer, simplify the radical.

**You can't take a square root of a negative number!

The _________ method works better for solving quadratics such as this:

 $x^2-18x+81=0$  

• Factoring

• Square Root

• Completing the Square

• Factoring

• Square Root

• Completing the Square

What characteristic(s) is(are) an indicator that the square root method works best?

• b=0 so the bx term is not in the equation

• there is a perfect square trinomial given

• a=1, b is even, and there's a non-zero number on the other side

• the expression can be easily factored

What characteristic(s) is(are) an indicator that the completing the square method works best?

• b=0 so the bx term is not in the equation

• there is a perfect square trinomial given

• a=1, b is even, and there's a non-zero number on the other side

• the expression can be easily factored

What characteristics are an indicator that the factoring method could be used to solve the quadratic?

Select all that apply.

• b=0 so the bx term is not in the equation

• there is a perfect square trinomial given

• a=1, b is even, and there's a non-zero number on the other side

• the expression can be easily factored

In a quadratic equation, the "bx" term is also called...

• the quadratic term

• the linear term

• the constant

• the vertical shift

 $y=ax^2+bx+c$  

When a quadratic equation is in standard form, what does c represent?

• horizontal shift

• vertical stretch or compression

• x-intercept

• y-intercept

When completing the square, how do you figure out what to add to both sides before factoring?

• Guess & Check

•  $\left(\frac{b}{2}\right)^2$  

•  $a\cdot c$  

• Use your lucky number so that the problem magically works only for you.  

When you take the square root of zero, you get zero.

But when you take the square root of any other perfect square, you get __________ solutions.

• two rational

• two irrational

• one irrational

• infinitely many