Math formative study

GCF

100

5x^2-45

5(x-3)(x+3)

200

4x^2-24x-28

4(x-7)(x+1)

300

3x^2 + 9x^3 + 12x^4

3x^2(1 + 3x + 4x^2)

400

36x^2 – 64y^4

4(9x^2 – 16y^4)

500

6q + 10q^2 + 8q^3

2q(3 + 5q + 4q^2)

Finding roots

100

Find the roots: (x-6)(x+10)

x = {6,-10} or x = 6 and -10

200

find the roots: f(x)=x^2+4x−12

x = 2 or −6 or x = {2,-6}

300

find the roots: x^2−7x+10=0

x = {5,2} or x = 5 and 2

400

find the roots: x^2−5x+10=−13x−6

x = -4 or x = {-4}

500

x^2 + 5x + 6 = 0

x = {-2,-3} or x = -2 and -3

Trinomial

100

x^2 – 2x – 3

 (x + 1)(x – 3)

200

 5u^2 - 11uv + 6v^2

(5u - 6v)(u - v)

300

 3x^2 + 7xy + 4y^2

(x + y)(3x + 4y)

400

6 + 23k + 7k^2

(2 + 7k)(3 + k)

500

j^2 - 4j - 45

 (j + 5)(j - 9)

Formulas

100

What is the formula for linear equations

y = mx+b

200

ax^2+bx+c = 0

Quadratic formula

300

x = (-b ± √ (b² – 4ac) )/2a

Formula to find the roots/zeros/x-intercepts

400

x = -b/2a

Axis of symmetry formula

500

Vertex formula

y = a(x - h)2 + k

Differences of square

100

x^2 - 1

(x + 1)(x - 1)

200

x^2y^2 - 4

(xy + 2)(xy - 2)

300

x^4y^2 - 4

(x^2y + 2)(x^2y - 2)

400

100c^2 - 25d^2

(10c + 5d)(10c - 5d)

500

36f^2 - 49g^2

(6f + 7g)(6f - 7g)