Question

Complete it

_______________

factorize.....

4x^2-4x-15

Answer 1

4x2-4x-15
Final result :
(2x - 5) • (2x + 3)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(22x2 - 4x) - 15
Step 2 :
Trying to factor by splitting the middle term.

The first term is, 4x2 its coefficient is 4 .
The middle term is, -4x its coefficient is -4 .
The last term, "the constant", is -15

Step-1 : Multiply the coefficient of the first term by the constant 4 • -15 = -60

Step-2 : Find two factors of -60 whose sum equals the coefficient of the middle term, which is -4 .

-60 + 1 = -59
-30 + 2 = -28
-20 + 3 = -17
-15 + 4 = -11
-12 + 5 = -7
-10 + 6 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 6
4x2 - 10x + 6x - 15

Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (2x-5)
Add up the last 2 terms, pulling out common factors :
3 • (2x-5)
Step-5 : Add up the four terms of step 4 :
(2x+3) • (2x-5)
Which is the desired factorization

Final result :
(2x - 5) • (2x + 3)

Answer 2

answer is in attachment......