SOLUTION: please assist me with the following: 1. factor 6f2+5f+1 2. factor 12w2+10w-8 3. factor: 20y2-33y+10 factor: -x2-x-6

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: please assist me with the following: 1. factor 6f2+5f+1 2. factor 12w2+10w-8 3. factor: 20y2-33y+10 factor: -x2-x-6      Log On


   



Question 82238This question is from textbook
: please assist me with the following:
1. factor 6f2+5f+1
2. factor 12w2+10w-8
3. factor: 20y2-33y+10
factor: -x2-x-6
This question is from textbook

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
1. factor 6f2+5f+1
%286f%5E2%2B5f%2B1%29
(3f+1)(2f+1)=0 [use trial-and-error to find the factors that have a product (multiplied) of the first and last term; and a sum (add) of the middle term]
Example: factor %286f%5E2%29=(3f)(2f)
factor the last term of (1) = (1)(1)
Try to find the combination of the factors that, when added togeter, will equal the middle term of 5f.
(3f+1)(2f+1)

.
factor 12w2+10w-8
%2812w%5E2%2B10w-8%29
(6w+8)(2w-1) [use trial-and-error to find the factors that have a product (multiplied) of the first and last term; and a sum (add) of the middle term]
Example: 12 = (6)(2) or (12)(1) or (3)(4)
and -8 = (-1)(8) or (1)(-8) or (-4)(2) or (-2)(4)
Try to find the combinations that, when added, will equal the middle term of (10w)
.
3. factor: 20y2-33y+10
%2820y%5E2-33y%2B10%29
(5y-2)(4y-5)[use trial-and-error to find the factors that have a product (multiplied) of the first and last term; and a sum (add) of the middle term]
.
factor: -x2-x-6
%28-x%5E2-x-6%29
(-x-3)(x-2)[use trial-and-error to find the factors that have a product (multiplied) of the first and last term; and a sum (add) of the middle term]