Polynomial Expressions Review

Factoring Trinomials

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials:y²-6y-7

(y-7)(y+1)

500

Factor into two binomials: x²-11x-42

(x-14)(x+3)

Multiplying Polynomials

100

Multiply the two binomials: (c - 9)(t + 2)

c^2-7c-18

200

Multiply the two binomials: (x + 4) (x + 4)

x^2+8x+16

300

Multiply the two binomials:

(3x - 4)(x - 1)

3x^2 - 7x + 4

400

Multiply the two binomials:(t + 3)(5t - 3)

5t^2 + 12t - 9

500

Multiply the polynomials: 5x(x+4) - 2x(x-3)

3x^2+26x

Factoring Perfect Squares

100

Factor: x² - 4 

(x-2)(x+2)

200

Factor: x² - 121 

(x-11)(x+11)

300

Factor: x² -256

(x-16)(x+16)

400

Factor: (x⁴-81)

(x²-9)(x²+9) or... (x-3)(x+3)(x-3)(x+3)

500

Factor: x² - b²

(x-b)(x+b)

FACTOR BY GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF- 10a³b⁴-6a²b⁶

2a²b⁴(5a-3b²)

REVIEW

100

Identify the terms and coefficients: 5x + 8

terms:5x and 8 coefficients: 5 and 8

200

A polynomial with exactly 2 terms.

binomial

300

Simplify: (10t^2 - 3t + 9) - (6t^2 - 7t)

4t^2 + 4t + 9

400

Simplify: (-a^2 + 2a - 8) + (2a^2 - 9a + 15)

a^2 - 7a + 7

500

Determine the product of (4x + 4)(5x - 5).

20x^2 - 20