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

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) (Show Source): You can put this solution on YOUR website!
1. factor 6f2+5f+1

(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 =(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

(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

(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

(-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]

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