V=7x^2-56x+105, possible dimen?
Answers
Answer:
Canceling out
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
((0 - 7x2) + 56x) - 105
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-7x2 + 56x - 105 = -7 • (x2 - 8x + 15)
Trying to factor by splitting the middle term
3.2 Factoring x2 - 8x + 15
The first term is, x2 its coefficient is 1 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is +15
Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15
Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .
-15 + -1 = -16
-5 + -3 = -8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and -3
x2 - 5x - 3x - 15
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-5)
Add up the last 2 terms, pulling out common factors :
3 • (x-5)
Step-5 : Add up the four terms of step 4 :
(x-3) • (x-5)
Which is the desired factorization
Final result :
-7 • (x - 3) • (x - 5)