ITT Technical Institute

Framingham, Massachusetts

Quarter 2 Electronics Mathematics

Instructor: Paul BurneyName __________________________________

Algebra--Factoring and Multiplying Polynomials

(Test #6)

Instructions:Please solve the following problems. Credit will be given for work completed so make sure to show it! All questions are worth 10 points.

Formulas:The following formulas / examples involving factoring may be useful in the problems below.

- 18a
^{3}+ 24a = 6a(3a^{2}+ 4)

- (a + b) · (c - d) ==> ac - ad + bc -bd

FOIL (first, outer, inner, last)

- (a + b)
^{2}= a^{2}+ 2ab +b^{2 }- (a - b)
^{2}= a^{2}-2ab +b^{2 }- a
^{3}+ b^{3}= (a + b)(a^{2}- ab + b^{2})

- a
^{3}- b^{3}= (a - b)(a^{2}+ ab + b^{2})

Problems:

- Multiply the following polynomials:

(x - 4) · (x + 4)

(3x - 2y) · (4x + 3y)

(3y - 7) · (3y + 7)

(x - 9)^{2 }- Factor the following polynomial expressions:

x^{2 }- 16

x^{2 }+ 14x + 49

a^{3 }- 27

5xy - 7x

8a^{2}b + 14ab^{3}

9x^{2 }- 24xy + 16y^{2}