Question

factorize: x^2-4x-77

Answer 1

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Answer 2

Concept:

A system of equations is a set of numbers and variables with mathematical operations.

Given:

x² - 4x - 77

Find:

We are asked to factorize the given expression.

Solution:

We have,

x² - 4x - 77

Now,

Using the middle-term splitting method,

i.e.

The product of the coefficient of  x² and the Constant term should give the middle term when added or subtracted,

So,

x² - 4x - 77

We get,

x² - 11x + 7x - 77

Now,

Taking common,

We get,

x(x - 11) + 7(x - 11)

Now,

Again taking common,

We get,

(x - 11)  (x + 7)

So,

These are the factors of the given expression.

Hence, the factors of the given expression are (x - 11)  (x + 7).

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