Answer:
Final result :
(j - 1) • (7j - 3)
Explanation:
Step by Step Solution
STEP1:
Equation at the end of step 1
(7j2 - 10j) + 3
STEP2:
Trying to factor by splitting the middle term
2.1 Factoring 7j2-10j+3
The first term is, 7j2 its coefficient is 7 .
The middle term is, -10j its coefficient is -10 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant 7 • 3 = 21
Step-2 : Find two factors of 21 whose sum equals the coefficient of the middle term, which is -10 .
-21 + -1 = -22
-7 + -3 = -10 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -3
7j2 - 7j - 3j - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
7j • (j-1)
Add up the last 2 terms, pulling out common factors :
3 • (j-1)
Step-5 : Add up the four terms of step 4 :
(7j-3) • (j-1)
Which is the desired factorization
Final result :
(j - 1) • (7j - 3)