Question

Factor 15x^2+x-6

Answer 1

My superior brain tells me the answer is (3x+2)(5x−3) .

Answer 2

How do I solve it?
:P

Answer 3

Hold on I shall show you the steps youngling.

Answer 4

Thank you sir. :)

Answer 5

15x2+x-6

Final result :
(5x - 3) • (3x + 2)


Simplify :
((15 • (x2)) + x) - 6

Step by step solution :

Step 1 :
Simplify 15x2+x - 6



Trying to factor by splitting the middle term
1.1 Factoring 15x2+x-6

Method : Factoring by splitting the middle term

The first term is 15x2 ,its coefficient is 15
The middle term is +x ,its coefficient is 1
The last term, also called 'the constant', is -6

Step-1 : Multiply the coefficient of the
first term by the constant

15 • -6 = -90

Step-2 : Find two factors of -90 whose
sum equals the coefficient of the
middle term, which is 1

-90 + 1 = -89
-45 + 2 = -43
-30 + 3 = -27
-18 + 5 = -13
-15 + 6 = -9
-10 + 9 = -1
-9 + 10 = 1 Tiger found it !!

Step-3 : Rewrite the polynomial splitting
the middle term using the two
factors found in Step-2, (-9) and (10)

15x2 - 9x + 10x - 6

Step-4 : Add up first 2 terms, pulling
out like factors : 3x•(5x-3)

Add up last 2 terms, pulling
out common factors: 2•(5x-3)
———————————
Factorization is : (3x+2)•(5x-3)

Answer 6

Wow, thanks!

Answer 7

You welcome youngling. Now fly on your way

Answer 8

and if you'd like you should join the Schrute army by becoming a fan. If you need any help i'm here.

Answer 9

kk