Question

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Answer 1

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Answer 2

Question :-

Factorize :- $\bold {x^2 - 15x - 76}$

Solution :-

By 'Splitting the Middle Term',

ab = (- 76x²) and a + b = (- 15x)

∴ a = + 4x and b = (- 19x)

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$\begin {aligned} \bold {x^2 - 15x - 76} & = x^2 + 4x - 19x - 76\\\\& \Rightarrow x (x + 4) - 19 (x + 4) \\\\& = \bold {(x - 19)(x + 4)} \end {aligned}$

∴ The Factorized Form of $\bold {x^2 - 15x - 76}$ is $\bold {(x - 19) (x + 4)}$ ...

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