Factorize the polynomial expression x 2 −11x−42 , and choose the option which represents the factored form correctly.

# Factorize the polynomial expression , and choose the option which represents the factored form correctly.

1. A

2. B

3. C

4. D
None of these

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### Solution:

The given expression is as follows,
.
Now, to factorize the above expression further, we need to take the product of the first and last terms of the above expression, i.e.,

Next, we need to split middle term of the polynomial expression, i.e., as a sum or difference of two terms, such that their product is equal to the product of first and last terms, i.e., .

Now, we need to group the terms and factor out the common factors, as follows,

So, the factored form of the given polynomial expression is .
Hence, the correct option is (2).

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