Algebra 1 Test Review - Polynomials and Factoring

Adding and Subtracting

100

When adding and subtracting, you can only combine _____ ________ (same variables raised to the same power). 

Like terms

200

(3x² + 5) + (16x² + 7)

19x² + 12

300

(11n² – 4) – (5n + 2)

11n² – 5n – 6

400

(3d² + 8d – 2) – (2d² – 7d + 6) 

d² +15d – 8

GCF

100

What does GCF stand for?

Greatest Common Factor

200

What is the GCF of 4x³ + 24x²?

4x²

300

What is the GCF of 9x² + 27x

9x

400

Factor out the GCF of 8x² + 4x – 6

2(4x² + 2x – 3)

Multiplying

100

(y – 4)(y + 7)

y² + 3y – 28

200

(x + 7)(2x – 1)

2x² + 13x – 7

300

2x³y²(4x²y⁶ + 5y)

8x⁵y⁸ + 10x³y³

400

(3x + 1)(5x – 3)

15x² – 4x – 3

Factoring Trinomials a=1

100

Factor x² + 16 x + 63

(x + 9)(x + 7)

200

Factor q² – 12q + 20

(q – 2)(q – 10)

300

Factor a² – 7a – 18

(a – 9)(a +2)

400

Factor x² + 5x – 14

(x + 7)(x – 2)

Factoring Trinomials a>1

100

To factor the trinomial 2x² + 13x + 15, what should be your first step?

Multiply ac. Find factors of ac that add/subtract to b.

200

Factor 3x² + 11x + 10

(3x + 5)(x + 2)

300

Factor 2x² + 13x + 15

(2x + 3)(x + 5)

400

Factor 3d² + 20d + 12

(3d + 2)(d + 6)