Quadratic Equations

Factor GCF

100

What is the GCF of 3x²-6x?

3x(x-2)

200

What is the GCF of 5t³+20t²?

5t²(t+4)

300

What is the GCF of 6q²-36?

6(q²-6)

400

What is the GCF of 11a²-33?

11(a²-3)

500

What is the GCF of 26f⁵-13f⁴?

13f⁴(2f-1)

Factor by Grouping

100

Factor by Grouping: 3k³-3k²-10k+10

(3k²-10)(k-1)

200

Factor by grouping: 9p³+18p²-5p-10

(9p²-5)(p+2)

300

Factor by Grouping: 4x³+14-7x-8x² 

Hint: rearrange terms in descending order

(4x²-7)(x-2)

400

Factor by grouping: 16j³+8j²-18j-9

(8j²-9)(2j+1)

500

Factor by grouping:14w³-45-35w+18w²

(2w²-5)(7w+9)

Leading Coefficient is 1

100

Factor: j²+7j+12

(j+3)(j+4)

200

Factor: d²+12d-13

(d+13)(d-1)

300

Factor: q²+8q+15

(q+5)(q+3)

400

Factor: z²+18z+17

(z+17)(z+1)

500

Factor: y²-10y+16

(y-8)(y-2)

Leading Coefficient >1

100

Factor: 7y²+10y+3

(7y+3)(y+1)

200

Factor: 6q²+11q+3

(2q+3)(3q+1)

300

Factor: 2q²+13q+11

(2q+11)(q+1)

400

Factor: 3v²-8v+5

(3v-5)(v-1)

500

Factor: 3g²+11g+8

(3g+8)(g+1)

Special Cases

100

Factor: 4g²-9

(2g-3)(2g+3)

200

Factor: 16s²+40s+25

(4s+5)²

300

Factor: w²-1

(w-1)(w+1)

400

Factor: 49j²-36

(7j+6)(7j-6)

500

Factor: 25f²-40f+16

(5f-4)²