Factorization method 7x^+34X-48=0
Answers
(x - 6) • (7x + 8)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(7x2 - 34x) - 48
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 7x2-34x-48
The first term is, 7x2 its coefficient is 7 .
The middle term is, -34x its coefficient is -34 .
The last term, "the constant", is -48
Step-1 : Multiply the coefficient of the first term by the constant 7 • -48 = -336
Step-2 : Find two factors of -336 whose sum equals the coefficient of the middle term, which is -34 .
-336 + 1 = -335
-168 + 2 = -166
-112 + 3 = -109
-84 + 4 = -80
-56 + 6 = -50
-48 + 7 = -41
-42 + 8 = -34 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -42 and 8
7x2 - 42x + 8x - 48
Step-4 : Add up the first 2 terms, pulling out like factors :
7x • (x-6)
Add up the last 2 terms, pulling out common factors :
8 • (x-6)
Step-5 : Add up the four terms of step 4 :
(7x+8) • (x-6)
Which is the desired factorization
Final result :
(x - 6) • (7x + 8)