x2 - 5x - 24 splitting middle term plz quick Thank You
Answers
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring x2-5x-24
The first term is, x2 its coefficient is 1 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -24
Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3
x2 - 8x + 3x - 24
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-8)
Add up the last 2 terms, pulling out common factors :
3 • (x-8)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-8)
Which is the desired factorization
Final result :
(x + 3) • (x - 8)
here as you can see 135 can be obtained by multiplying 15 and 9 and these are only numbers whose subtract ion gives 6