Question

factorise x^2 -7x + 60........ Anyone solve fast I will mark as the BRAINIEST ANSWER....... that person will get 10 points
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Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

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$\green{\underline \bold{Given :}}$

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$\red{\underline \bold{To \: Find:}}$

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• Factorise $\footnotesize{ \purple{\bold{x^2 - 7x - 60}}}$

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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We know that , a quadratic equation having degree '2' is known as quadratic equation.

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$\footnotesize{ \red{\bold{Degree \: is \: the \: highest \: power \: of \: variable}}}$

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Let us factorize it by $\footnotesize{ \green{\bold{Splitting \: the \: middle \: term \: method}}}$

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$\footnotesize{\underline{\bold{\texttt{Let us understand what is splitting the middle term}}}}$

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⮕ x² -7x - 60

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࿇ Find the product of 1st and last term[ Remember the equation must be in general form i.e ax² + bx + c ]

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࿇ Find the factors of (-60) in such way that addition or subtraction of that factors is the middle term (-7x)

-12 x 5 = -60

and -12 + 5 = -7

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࿇ Write the center term using the sum of the two new factors, including the proper signs.

x² - 12x + 5x - 60

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࿇ Group the terms to form pairs - the first two terms and the last two terms. Factor each pair by finding common factors.

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⇛ x(x - 12) +5(x - 12)

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⇛ (x - 12)(x + 5)

Answer 2

Step-by-step explanation:

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