# Factoring trinomials

ection 6.2 Factor the trinomial completely: Questions 66/67

66. 5b3 - 5b2 - 60b (the small numbers indicate to the 3rd and 2nd powers respectively).

70. 6n^4 - 18n^3 + 12n^2

Section 6.3 Questions 56/58 Factor the trinomial completely.

56. 8y3 - 16y 2 + 6y

58. 10y3 + 5y 2 - 5y

Section 6.4 Question 26 Factoring the difference of two squares

26. 16a2 - b2

Section 7.1 Questions 86/88 Rational expressions, simplify the expression

86. 5x2 + 3x -2 ( Witten in the form of a fraction).

Over______________

5x2 + 13x - 6

88. 2x - 1 (written as a fraction).

Over______________

4x2 + 6x -4

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#### Solution Preview

Section 6.2 Factor the trinomial completely: Questions 66/67

66. 5b3 - 5b2 - 60b (the small numbers indicate to the 3rd and 2nd powers respectively).

----First factor out 5b

5b(b^2-b-12) ----Then reverse FOIL to find the two binomials. The factors of 12 include 1,2,3,4,6,12)

5b(b+3)(b-4)

70. 6n4 - 18n3 + 12n2 (the small numbers indicate to the 4th 3rd and 2 powers respectively).

First ...

#### Solution Summary

7 problems dealing with factoring, from removing common factors to reverse FOILing so you can simplify a complicated expression are covered in this solution set.