Intermediate Algebra (11th edition)

(Marvins-Underground-K-12) #1

Factor each polynomial twice. First use a common factor with a positive coefficient, and then
use a common factor with a negative coefficient. See Example 4.






















Factor by grouping. See Examples 5 – 8.
































































Brain Busters Factor out the variable that is raised to the lesser exponent. ( For example, in
Exercise 59,factor out .)
















63.Concept Check When directed to completely factor the polynomial ,
a student wrote
.
When the teacher did not give him full credit, he complained because when his answer is
multiplied out, the result is the original polynomial. WHAT WENT WRONG?Give the
correct answer.


64.Concept Check Refer to Exercise 58.One form of the answer is.
Give two other acceptable factored forms of.


65.Concept Check Which choice is an example of a polynomial in factored form?


A. B.
C. D.

66.Concept Check Refer to the answer in Exercise 65.When expressed in polynomial
form, what is the degree of the polynomial?


1 - 2 + 3 x 215 y^2 + 4 y+ 32 13 x+ 4215 x-y 2 - 13 x+ 4212 x- 12

3 x^2 y^3 + 6 x^212 x+y 2 51 x+y 22 - 101 x+y 23

2 ab^2 - 8 b^2 +a- 4

12 b^2 + 121 a- 42

2 xy^312 xy^2 - 42

4 x^2 y^5 - 8 xy^3

3 p-^3 + 2 p-^2 - 5 q-^3 + 8 q-^2

3 m-^5 +m-^3 k-^2 + 2 k-^4

m-^5

1 - a+ab-b 2 ab^2 - 8 b^2 +a- 4

8 + 9 y^4 - 6 y^3 - 12 y x^3 y^2 - 3 - 3 y^2 +x^3

4 +xy- 2 y- 2 x 10 ab- 21 - 6 b+ 35 a


  • 3 a^3 - 3 ab^2 + 2 a^2 b+ 2 b^3 - 16 m^3 + 4 m^2 p^2 - 4 mp+p^3


m^3 + 4 m^2 - 6 m- 24 2 a^3 +a^2 - 14 a- 7

2 xy+ 3 y+ 2 x+ 3 7 ab+ 35 bc+a+ 5 c

p^2 - 4 zq+pq- 4 pz r^2 - 9 tw+ 3 rw- 3 rt

4 - 2 q- 6 p+ 3 pq 20 + 5 m+ 12 n+ 3 mn

10 m+ 2 n+ 5 mk+nk 3 ma+ 3 mb+ 2 ab+ 2 b^2

mx+qx+my+qy 2 k+ 2 h+jk+jh


  • 2 x^5 + 6 x^3 + 4 x^2 - 5 a^3 + 10 a^4 - 15 a^5

  • 12 s 5 + 48 s 4 - 16 y^4 + 64 y^3

  • r^3 + 3 r^2 + 5 r -t 4 + 8 t 3 - 12 t


SECTION 6.1 Greatest Common Factors and Factoring by Grouping 325


Find each product. See Section 5.4.













  1. 12 x^2 - 521 x^2 - 62 71. 13 y^3 - 4212 y^3 + 32 72. 5 t 13 t+ 221 t- 82


1 k+ 721 k- 12 14 y- 2215 y+ 62 15 x- 2 t 215 x+ 2 t 2

PREVIEW EXERCISES

Free download pdf