what missing number would complete the factorization?
v^2+12v+20=(v+10)(v+?)
The missing number is 2.
Yes for once, 2
To find the missing number that would complete the factorization of the expression, let's expand the product of (v+10)(v+?) and match it with the given expression.
The expression (v+10)(v+?) can be expanded using the FOIL method:
(v+10)(v+?) = v(v) + v(?) + 10(v) + 10(?)
This simplifies to:
v^2 + ?v + 10v + 10?
Now, comparing this with the given expression v^2 + 12v + 20, we can see that the ?v term in the factorization should be 12v, and the 10? term should be 20.
Therefore, the missing number that would complete the factorization is 2.
Hence, the correct factorization is:
v^2 + 12v + 20 = (v + 10)(v + 2)
To find the missing number that would complete the factorization, we can expand the expression (v+10)(v+?) and compare it to the given expression v^2+12v+20.
To expand (v+10)(v+?), we use the distributive property:
(v+10)(v+?) = v(v+?) + 10(v+?)
Expanding further:
(v+10)(v+?) = v^2 + ?v + 10v + 10?
Comparing this expanded expression to the given expression v^2+12v+20, we can see that:
- The constant terms are the same: 20 = 10?
- The linear terms are the same: 12v = ?v + 10v
From the constant terms, we can find the missing number by solving the equation:
20 = 10?
Dividing both sides by 10:
2 = ?
Therefore, the missing number that would complete the factorization is 2.