Polynomials and Factoring

Factoring Polynomials (Box Method)

300

Factor the following polynomial by using the box method: 4x² + 24x + 11

Answer:

(2x + 11)(2x + 1) or (2x + 1)(2x + 11)

400

Factor the following polynomial by using the box method: 6x² - 17x + 7

Answer:

(3x - 7)(2x - 1) or (2x - 1)(3x - 7)

500

Factor the following polynomial by using the box method: 8x + 21x + 10

Answer:

(8x + 5)(x + 2) or (x + 2)(8x + 5)

Subtracting/Adding Polynomials

300

Simplify.

(4x^2 +6x + -3)-(2x^2 - 5x + 9)

2x^2 + 11x - 12

400

Simplify:

(3x^2 +2x + 5)+(4x^2 −3x + 1)

7x^2 − x + 6

500

Simplify:

(5x^3 + 2x^2 + 4x − 3)−(3x^3 + 2x^2 − 5x + 1)

2x^3 +9x − 4

Factoring Polynomials (GCF)

300

Simplify using GCF: 40x + 10x

10(4x + x)

400

Simplify using GCF: 9x^2 + 6

3(3x^2 + 2)

500

Simplify using GCF: 20x + 3x + 8

1(20x + 3x + 8)

Multiplying Polynomials

300

Multiply: (5x + 3)(x - 4)

Answer:

5x² - 17x - 12

400

Multiply: (3x - 4)(2x - 4)

Answer:

6x² - 20x + 16

500

Multiply: (5x + 9)(4x + 3)

Answer:

20x² + 51x + 27