Factor the Trinomial is prime: 3x^2+8x+4,4y^2-25y+6,3x^2+8x-

[broomebrit]

Factor the Trinomial is prime

1) 3x^2+8x+4

2) 4y^2-25y+6

3) 3x^2+8x-3 factor by the grouping number method

4) 2x^2+5x-3

factor the Trinomial a state it prime

5) 5x^2-13x+16

6) 2x^2+19x+9

7) 5x^2+2x-3

8) 10x^2+11xy-6y^2

9) 7a^2+13ab+6b^2

factor by factoring out the greatest common factor

10) 15x^2-25x-10

thank you for help!!!

 

[mmm4444bot]

Hello Broome Brit:

You get no help from me until you show some work.

Either you did not read the post titled "Read Before Posting", or you intentionally chose to ignore this web site's request for you to not post a laundry list of your homework.

I have no idea what kind of help you expect or need. Have you taken any courses in algebra?

Cheers,

~ Howard I. Noe

 

[fasteddie65]

The first few problems:

1) 3x^2 + 8x + 4
3 • 4 = 12
Factors of 12 whose sum is 8: 6 and 2
Rewrite as a 4 term polynomial: 3x^2 + 6x + 2x + 4
Regroup into 2 binomials: (3x^2 + 6x) + (2x + 4)
Factor using common factors: 3x(x + 2) + 2(x + 2)
Factor out a common factor: (x + 2)(3x + 2)


2) 4y^2 - 25y + 6
4 • 6 = 24
Factors of 24 whose sum is -25: -1 and -24
Rewrite: 4y^2 - y - 24y + 6
Regroup: (4y^2 - y) + (- 24y + 6)
Factor: y(4y - 1) - 6(4y - 1)
Factor again: (4y - 1)(y - 6)

3) 3x^2 + 8x - 3 factor by the grouping number method
3 • (-3) = -9
Factors of -9 whose sum is 8: 9 and -1
Rewrite: 3x^2 + 9x - x - 3
Regroup: (3x^2 + 9x) - (x + 3)
Factor: 3x(x + 3) -1(x + 3)
Factor again: (x + 3)(3x - 1)

4) 2x^2 + 5x - 3
2 • (-3) = -6
Factors of -6 whose sum is 5: 6 and -1
2x^2 + 6x - x - 3
2x(x + 3) - 1(x + 3)
(x + 3)(2x - 1)

 

[fasteddie65]

factor the Trinomial a state it prime

5) 5x^2 - 13x + 16
5 • 16 = 80
No factors of 80 whose sum is -13.
Prime

6) 2x^2 + 19x + 9
2 • 9 = 18
18 + 1 = 19
2x^2 + 19x + 9 = (2x^2 + 18x) + (x + 9) = 2x(x + 9) + 1(x + 9) = (x + 9)(2x + 1)

7) 5x^2 + 2x - 3
5 • (-3) = -15
5 + (-3) = 2
5x^2 + 2x - 3 = (5x^2 + 5x) + (-3x - 3) = 5x(x + 1) - 3(x + 1) = (x + 1)(5x - 3)

8) 10x^2 + 11xy - 6y^2
10 • (-6) = -60
15 + (-4) = 11
10x^2 + 11xy - 6y^2 = (10x^2 + 15xy) + (-4xy - 6y^2) = 5x(2x + 3y) - 2y(2x + 3y) = (2x + 3y)(5x - 2y)

9) 7a^2 + 13ab + 6b^2
7 • 6 - 42
7 + 6 = 13
7a^2 + 13ab + 6b^2 = (7a^2 + 7ab) + (6ab + 6b^2) = 7a(a + b) + 6b(a + b) = (a + b)(7a + 6b)

factor by factoring out the greatest common factor

10) 15x^2 - 25x - 10 = 5(3x^2 - 5x - 2)
3 • (-2) = -6
1 + (-6) = 5
5(3x^2 - 5x - 2) = 5[(3x^2 + x) - (6x + 2)] = 5[x(3x + 1) - 2(3x + 1)] = 5(3x + 1)(x - 2)

 

[stapel]

Have you taken any courses in algebra?

Why bother, when one can find people online who will take the courses for one? :roll:

Eliz.

 

[Denis]

D'you like doing homework, Fasteddie?

 

[stapel]

D'you like doing homework, Fasteddie?

I recall this username from Sparknotes, where the "students" got to vote on the "quality" of the replies (back when the site had message boards). Naturally, completing the entire assignment for the "learner" usually "earned" the "tutor" the highest "score" and various "awards"; trying to help a child learn and grow was generally heavily penalized. :shock:

"fasteddie1965" got loads of awards, and had a staggeringly high approval rating.... :roll:

Eliz.

 

[mmm4444bot]

... "fasteddie1965" ... had a staggeringly-high approval rating

Heh, heh, heh.

It will now be hard for me -- whenever I see or hear the name Fast Eddie -- to not envision a guy hunched over his keyboard, typing furiously, surrounded by empty cans of Coca-Cola with little time to answer the door for the pizza-delivery.

 

[chivox]

... "fasteddie1965" ... had a staggeringly-high approval rating

Heh, heh, heh.

It will now be hard for me -- whenever I see or hear the name Fast Eddie -- to not envision a guy hunched over his keyboard, typing furiously, surrounded by empty cans of Coca-Cola with little time to answer the door for the pizza-delivery.

I have less and less admiration for the "People's Choice" awards every time I read one of his posts on this board. And I doubt Coca-Cola has enough caffeine to keep him up doing high school kids' homework all day and night.