What is the splitting the middle term of x^2 +12x +7
Answers
If we want to factorize this solution to find the roots or solutions of this equation, we use the method of splitting the middle term.
Here, splitting the middle term is to split the middle term in such a way that the sum of the two splitted numbers should be equal to 12 and product of the two splitted numbers should be equal to 7.
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Generally, If a is one splitted term and b is another splitted term, then,
a + b = coefficient of (x) and
a × b = product of coefficient of (x^2) and the constant.
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In this question,
a + b = 12
a × b = 7 × 1 = 7
From here, a = 0.615 and b = 11.385.
So, the equation will become,
x^2 + 0.6x + 11.385x +7
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