Factoring Trinomials
Properties in Standard Form
Solving Quadratics by Graphing and Factoring
Random
vocabulary
discriminant
100

3x^2 + 10x + 8

(3x+4)(x+2)

100

Find the vertex for f(x) = x^2 -4x + 3.

What is (2,-1)?

100

Find the roots of x^2 -25.

What are -5 and 5?

100

What value of c would complete the square? x^2 - 6x + c

What is 9?

100

What are three other names that solutions are referred to as?

Zeros x-intercept roots

100

The discriminant of the quadratic t² - 3t - 28.

What is 121?

200

5x^2 + 21x + 4

(5x+1)(x+4)

200

Find the vertex for y= -x^2 + 2x - 1

What is (1,0) 

200

Find the roots of x^2 + 10x + 25.

What is -5?

200

What value of c would complete the square? x^2 + 5

What is 25/4?

200

The value of the x that makes the f(x) = 0

What is the zero of a function?

200

When you have this type of discriminant, you should expect non-real solutions to your quadratic equation.

What is negative?

300

4x^2 + 11x + 7

(4x+7)(x+1)

300

Convert the following function from vertex to standard form: f(x) = 2(x+1)^2 -5

2x^2+4x-3

300

Find the roots of x^2 + 5x =24

What are -8 and 3?

300

The general solution to the equation ax² + bx + c = 0.

What is (-b ± √(b² - 4ac)) / (2a)?

300

where is the discriminant located in the quadratic formula

What is under the radical

300

This is the formula for the discriminant of the quadratic ax² + bx + c.

What is b² - 4ac?

400

18x^2 - 6x -4

2(3x+1)(3x-2)

400

What is the degree of -3x^2 -2x -5?

What is 2?

400

Find the roots of 9x^2 = 25.

What - 5/3 and 5/3?

400

Is the following quadratic a perfect square, difference of squares, or neither? x^2 +10x+25

What is a perfect square?

400

what form is this quadratic shown in f(x) = a ( x- h)^2 + k

vertex form

400

If your discriminant is this number, your quadratic equation has only one solution, not two.

What is zero?

500

The area of a rectangle is 20x^2-27x-8. The length is 4x+1. What is the width?

5x-8

500

What is the y-intercept of f(x)=-3x^2 -2x -5

y-intercept = -5

500

Find the solutions to the equation 3p² - 5p + 9 = 0

What are (5 + i√83) / 6 and (5 - i√83) / 6?

500

Convert from standard to vertex form y = x^2+4x-3

(x+2)^2-7

500

Which form is shown f(x) = a x^2 +bx+c

Standard form

500

Let's be rational - just like your solutions will be if the discriminant is this kind of number.

What is a perfect square?