Adding and Subtracting
Multiplying and Factoring GCF
Binomials & Special Cases
Factoring Trinomials a=1
Factoring Trinomials a>1
100

–6ab + 3ab

What is -3ab

100

Simplify 2x(x + 8)

What is 2x2 + 16x

100

(y – 4)(y + 7)

What is y2 + 3y – 28

100

Factor x2 + 16 x + 63

What is (x + 9)(x + 7)

100

Factor 2w2 + 13w + 15

What is (2w + 3)(w + 5)

200

(3x2 + 5) + (16x2 + 7)

What is 19x2 + 12

200

Find the GCF of 4t3 + 24t

What is 4t

200

(3x + 1)(5x – 3)

What is 15x2 – 4x – 3

200

Factor q2 – 12q + 20

(q – 2)(q – 10)

200

Factor 3d2 + 20d + 12

What is (3d + 2)(d + 6)

300

11n – 4 – (5n + 2) = ________

What is 6n - 6

300

Find the GCF of 4t3 + 24t

What is 4t

300

(x + 3)(x2 – 2x + 4)

What is x3 + x2 -2x + 12

300

Factor a– 7a – 18

What is (a – 9)(a +2)

300

Factor 6r2 – 10r – 24

What is 2(3r + 4)(r – 3)

400

Error Analysis -- Describe and correct the error in simplifying the difference shown. 

3d2 + 8d – 2 – (2d2 – 7d + 6) = d2 + d – 8

What is Did not distribute the negative to (-7d) Answer should be: d2 +15d – 8

400

Classify this polynomial by degree and number of terms.

-2x2 + 8x - 5x4

Quartic / 4th degree trinomial

400

(5s + 2)2

What is 25s2 +20s + 4

400

Factor x2 + 5xy – 14y2

What is (x + 7y)(x – 2y)

400

Factor 3x2 + 9x – 84

What is 3(x + 7)(x – 4)

500

The fence around a quadrilateral-shaped pasture is (3a2 + 15a + 9) feet long. Three sides of the fence have the following lengths: 5a, 10a – 2, a2 – 7. What is the length of the fourth side of the fence?

What is : 2a2 +18

500

Write this polynomial in standard form, and identify the leading coefficient.

-2x2 + 8x + 5x4

5x4 – 2x2 + 8x

Leading Coefficient = 5

500

The area of a garden is (15x2 + 14x - 8) square meters.  If the width of one side is (5x - 2), find the length.    

What is (3x + 4) meters.

500

Factor k2 + 4kn – 96n2

What is (k + 12n)(k – 8n)

500

Factor 24c2 + 96c + 90

What is 6(2c + 5)(2c + 3)