Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Not the answer you are looking for? Search for more explanations.
Are you trying to factor this trinomial?
Ok. So what is your understanding of this Q?
I need to know this before I give you the answer + explanation.
Trying to factor by splitting the middle term
2.1 Factoring 6x2+x-35
The first term is, 6x2 its coefficient is 6 .
The middle term is, +x its coefficient is 1 .
The last term, "the constant", is -35
Step-1 : Multiply the coefficient of the first term by the constant 6 • -35 = -210
Step-2 : Find two factors of -210 whose sum equals the coefficient of the middle term, which is 1 .
-210 + 1 = -209
-105 + 2 = -103
-70 + 3 = -67
-42 + 5 = -37
-35 + 6 = -29
-30 + 7 = -23
-21 + 10 = -11
-15 + 14 = -1
-14 + 15 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and 15
6x2 - 14x + 15x - 35
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (3x-7)
Add up the last 2 terms, pulling out common factors :
5 • (3x-7)
Step-5 : Add up the four terms of step 4 :
(2x+5) • (3x-7)
Which is the desired factorization
Final result :
(3x - 7) • (2x + 5)