Chapter 9 Polynomials

+ and -

100

(5x³ + 3x² - 7x + 10) - (3x³ - x² + 4x - 1)

2x³ + 4x² - 11x + 9

200

(x² + 3x -2) + (4x² - 5x + 2)

5x² -2x

300

(4m³ + 7m - 4) + (2m³ - 6m + 8)

6m³ + m +4

400

(8t² + t + 10) - (9t² - 9t - 1)

-t² + 10t +11

500

(-7c³ + c² - 8c -11) - (3c³ + 2c² +c -4)

-10c³ - c² - 9c - 7

Multiplication

100

4b(b² + 3)

4b³ + 12b

200

9c(c² - 3c +5)

9c³ - 27c² + 45c

300

8m(4m - 5)

32m² - 40m

400

5k(k² + 8k)

5k³ + 40k²

500

5r²(r² + 4r - 2)

5r⁴ +20r³ - 10r²

Find the GCF + Factor

100

Find the GCF of the terms of each polynomial.  Factor.  

t⁶ + t⁴ - t⁵ + t²

t²(t⁴ - t³ + t² + 1)

200

Find the GCF of the terms of each polynomial.  Factor. 

3m² - 6 + 9m

3(m² + 3m -2)

300

Find the GCF of the terms of each polynomial.  Factor. 

16c² - 4c³ + 12c⁵

4c²(3c³ - c + 4)

400

Find the GCF of the terms of each polynomial.  Factor. 

8v⁶ + 2v⁵ - 10v⁹

-2v⁵(5v⁴ - 4v - 1)

500

Find the GCF of the terms of each polynomial.  Factor. 

6n² - 3n³ + 2n⁴

n²(2n² -3n + 6)

FOIL and Distributive

100

Simplify each product.  Write in standard form.

(5c + 3)(-c + 2)

-5c² + 7c + 6

200

(3t - 1)(2t + 1)

6t² + t - 1

300

Simplify each product.  Write in standard form.

(w + 2)(w² + 2w - 1)

w³ + 4w² + 3w - 2

400

Simplify each product.  Write in standard form.

(3t + 5)(t + 1)

3t² + 8t +5

500

Simplify each product.  Write in standard form.

(2n - 3)(2n + 4)

4n² + 2n - 12

Factoring

100

Factor each expression.

x² - 4x +3

(x - 1)(x - 3)

200

Factor each expression.

v² + v - 2

(v + 2)(v - 1)

300

Factor each expression.

m² + 9m - 22

(m + 11)(m - 2)

400

Factor each expression.

x² - 2x - 15

(x - 5)(x + 3)

500

Factor each expression.

2n² + n - 3

(2n + 3)(n - 1)