Quadrat(s)i(x)cs(even)

I'm rooting for you!!

100

Solve for the roots:

X² –13x +36 = 0

x = 4 and x = 9

200

Solve for the roots:

(2x+9)(x-24)=0

x=24 and x=-9/2

300

Solve for the roots of f(x):

f(x) = x² + 2x – 2

–2 +/- √12

OR

–2 +/- 2√3

400

Solve for the roots:

h(x) = 32x² –36x –5

x = -1/8 or -0.125

and

x=5/4 or 1.25

500

Find all possible solutions to the following quadratic:

44 – 18x = 7x²

x = –9 +/- √389

           7

To FOIL or not to FOIL...

100

Factor this:

x² – 144

(x + 12)(x – 12)

200

Factor this:

g² – 10g + 25

(x–5)(x–5)

300

Factor:

6x²  + 19x + 15

(2x + 3)(3x + 5)

400

Factor!!!

49x²– 14x + 1

(7x–1)(7x–1) or (7x–1)²

500

Factor!!!!!

18x² – 57x + 35

(6x – 5)(3x – 7)

Keep it real!!!!! b² – 4ac > 0

100

What is the discriminant and what is it used for?

b² – 4ac

No √ symbol!!!

Tells us how many roots a quadratic will have

(2 real roots, 1 real root, no real roots)

200

Calculate the value of the discriminant for the following quadratic:

3x² – 4x + 5

–44

300

If a, b, and c, are integer values greater than 1, determine the nature of the roots for the following quadratic:

f(x) = –ax² + bx + c

Two real roots!

400

⭐DAILY DOUBLE⭐

For what value of b will the following function have a double root:

p(x) = 49x² –bx + 289

b = 238

500

What is the smallest integer value of c such that the equation (f) = 2x² – 3x + c has no real solutions?

2

Ain't no mountain high, ain't no valley low

100

Identify the vertex in the equation below using correct notation:

f(x) = –20(x + 16)² – 1000

(16, –1000)

200

Convert the following from vertex form to standard form:

q(x) = 5(x – 1)² +10

q(x) = 5x² – 10x + 15

300

Convert the following from standard form to vertex form:

h(x) = 2x² + 12x – 23

h(x) = 2(x + 3)² – 41

400

⭐DAILY DOUBLE⭐

Identify the vertex of the quadratic below:

g(x) = (x – 2025)(x+2025)

(0, –4,100,625)

500

Ms. Abrams writes a quadratic

f(x) = a(x – 2)(x + 4) with vertex (h, k).

In terms of a, what is the value of k?

–9a