Factoring Polynomials

anonimnystefy · 2011-07-23 08:06:22

hi bob

about the perfect squares method:
let us take your example 9x^2+30x+25=
9(x^2+10x/3+25/9)=
9(x^2+10x/3+(5/3)^2)=
9(x+5/3)^2=
3^2(x+5/3)^2=
(3x+5)^2

also i did in school something ike this:
x^2-5x+6=
x^2-5x+(5/2)^2-(5/2)^2+6=
(x-5/2)^2-25/4+4=
(x-5/2)^2-1/4=
(x-5/2)^2-(1/2)^2
then we use the difference of squares:
(x-5/2-1/2)(x-5/2+1/2)=
(x-6/2)(x-4/2)=
(x-3)(x-2)

zee-f · 2011-07-23 08:06:40

wow that was helpful yeah u do allot of math with pictures it really makes it more organized i personally liked the grouping method it was fun in a weird way

zee-f · 2011-07-23 08:08:09

i got 14-a 15-a 16- d

14. x^2 + 18x + 81

A(x + 9)(x + 9)
B(-x + 9)(-x + 9)
C(x - 9)(x - 9)
D(x + 9)(x - 9)
E(x - 9)(-x + 9)
FThis polynomial cannot be factored by using the perfect squares method.

15. x^2 3x + 16

A(x 4)(x 4)
B(x 4)(x + 4)
C(x + 4)(x + 4)
D(x + 4)(x 4)
E(-x 4)(-x 4)
FThis polynomial cannot be factored by using the perfect squares method.

16. 4x^4 20x^2 + 25

A(2x^2 + 5)(2x^2 + 5)
B(2x^2 5)(2x^2 + 5)
C(-2x^2 5)(-2x^2 5)
D(2x^2 5)(2x^2 5)
E(2x^2 5)(-2x^2 + 5)
FThis polynomial cannot be factored by using the perfect squares method

anonimnystefy · 2011-07-23 08:13:21

hi zee-f

14 and 16 are correct but 15 isn't.how did you get your answer and did you check to see if it is correct?

Bob · 2011-07-23 08:20:19

a picture speaks a thousand words

Bob

zee-f · 2011-07-24 00:03:39

hey guys so i revised my answer for #15 This polynomial cannot be factored by using the perfect squares method because when i multiply the x *4*2 its going to give me 8x so thats not what the middle term is this cant be done using the squares method

anonimnystefy · 2011-07-24 00:06:21

hi zee-f

that is correct.actualy it cannot be factored by any method if you don't use complex numbers.

bobbym · 2011-07-24 00:07:50

Hi;

That is correct. If you multiply out all of the choices you will see that none them is correct, so the answer must be F.

zee-f · 2011-07-24 00:18:08

i also used this website it made the method sooooo easy u guys can check it out it cleared the idea alotttt http://www.ehow.com/how_5953961_factor-polynomials-perfect-squares.html

bobbym · 2011-07-24 00:19:31

Hi;

That is a nice site, did you find yourself?

zee-f · 2011-07-24 00:22:23

yup i just searched it on yahooo on how to do the squared method i needed a more clarification thanx allot for alll the help guysss

bobbym · 2011-07-24 00:23:13

Thanks for that page!

zee-f · 2011-07-24 00:52:59

17. x^2 + 2x + 1

AThis polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
BThis polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
CThis polynomial could be factored only by using the perfect squares method.
DThis polynomial could be factored only by using the difference of squares method.
EThis polynomial could be factored by using grouping or the perfect squares methods.
FThis polynomial cannot be factored by any of the methods used in this lesson.

i choose (A)

zee-f · 2011-07-24 00:54:05

18. 2x^3 + 4x^2 + 2x

AThis polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
BThis polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
CThis polynomial could be factored only by using the perfect squares method.
DThis polynomial could be factored by using grouping or the perfect squares methods.
EThis polynomial could be factored only by using the difference of squares method.
FThis polynomial cannot be factored by any of the methods used in this lesson.

i choose (A)

zee-f · 2011-07-24 00:55:48

19. x^2 169 i choose (E)

AThis polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
B This polynomial could be factored by using the difference of squares method or grouping.
CThis polynomial could be factored only by using the perfect squares method.
DThis polynomial could be factored by using grouping or the perfect squares methods.
EThis polynomial could be factored only by using the difference of squares method.
FThis polynomial cannot be factored by any of the methods used in this lesson.

zee-f · 2011-07-24 00:57:28

20. x^2 + 5x 7 i choose (A)

AThis polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
BThis polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
CThis polynomial could be factored only by using the perfect squares method.
DThis polynomial could be factored by using grouping or the perfect squares methods.
EThis polynomial could be factored only by using the difference of squares method.
FThis polynomial cannot be factored by any of the methods used in this lesson.

zee-f · 2011-07-24 01:10:20

so did i do wellllllll ???????

bobbym · 2011-07-24 01:15:46

How did you get the GCF of 17

zee-f · 2011-07-24 01:18:30

the question says

For problems 17 20, identify which of the methods from this lesson (GCF, grouping, difference of squares, or perfect squares) could be used to factor the polynomial.

17 can be factorized by using the gcf right ?

zee-f · 2011-07-24 01:21:33

if not it has to be c or e

bobbym · 2011-07-24 01:22:33

I do not think so, is there a common factor for each term?

zee-f · 2011-07-24 01:25:06

nope it cant be factored by the gcf

zee-f · 2011-07-24 01:26:55

i like c what do u think because it cant be done by the difference square method

bobbym · 2011-07-24 01:27:52

Hi;

(x+1)^2 is the factorization.

zee-f · 2011-07-24 01:31:35

Factoring Perfect Squares

Math Is Fun Forum

#76 2011-07-23 08:06:22

Re: Factoring Polynomials

#77 2011-07-23 08:06:40

Re: Factoring Polynomials

#78 2011-07-23 08:08:09

Re: Factoring Polynomials

#79 2011-07-23 08:13:21

Re: Factoring Polynomials

#80 2011-07-23 08:20:19

Re: Factoring Polynomials

#81 2011-07-24 00:03:39

Re: Factoring Polynomials

#82 2011-07-24 00:06:21

Re: Factoring Polynomials

#83 2011-07-24 00:07:50

Re: Factoring Polynomials

#84 2011-07-24 00:18:08

Re: Factoring Polynomials

#85 2011-07-24 00:19:31

Re: Factoring Polynomials

#86 2011-07-24 00:22:23

Re: Factoring Polynomials

#87 2011-07-24 00:23:13

Re: Factoring Polynomials

#88 2011-07-24 00:52:59

Re: Factoring Polynomials

#89 2011-07-24 00:54:05

Re: Factoring Polynomials

#90 2011-07-24 00:55:48

Re: Factoring Polynomials

#91 2011-07-24 00:57:28

Re: Factoring Polynomials

#92 2011-07-24 01:10:20

Re: Factoring Polynomials

#93 2011-07-24 01:15:46

Re: Factoring Polynomials

#94 2011-07-24 01:18:30

Re: Factoring Polynomials

#95 2011-07-24 01:21:33

Re: Factoring Polynomials

#96 2011-07-24 01:22:33

Re: Factoring Polynomials

#97 2011-07-24 01:25:06

Re: Factoring Polynomials

#98 2011-07-24 01:26:55

Re: Factoring Polynomials

#99 2011-07-24 01:27:52

Re: Factoring Polynomials

#100 2011-07-24 01:31:35

Re: Factoring Polynomials

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