Which number makes this equation true?%0D%0Av2 + 10v + 16 = (v + 8)(v + ?)%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A2%0D%0A2%0D%0A%0D%0A4%0D%0A4%0D%0A%0D%0A6%0D%0A6%0D%0A%0D%0A8
To find the missing number, we need to factor the quadratic on the right side of the equation.
The quadratic can be factored as follows:
(v + 8)(v + ?)
To find the missing number, we need to determine what number, when multiplied by v + 8, gives us v^2 + 10v + 16.
By comparing the coefficients of the terms, we can determine that the missing number must be 2.
Therefore, the number that makes the equation true is 2.
So, the correct answer is:
2