Question

2x2 + 2x - 99 = 0

factorise by splitting the middle term.​

Answer 1

Answer:

Correct option is

A

(x+9)(x−11)

In the given polynomial x

2

−2x−99,

The first term is x

2

and its coefficient is 1.

The middle term is −2x and its coefficient is −2.

The last term is a constant term −99.

Multiply the coefficient of the first term by the constant 1×(−99)=−99.

We now find the factor of −99 whose sum equals the coefficient of the middle term, which is −2 and then factorize the polynomial x

2

−2x−99 as shown below:

x

2

−2x−99

=x

2

−11x+9x−99

=x(x−11)+9(x−11)

=(x+9)(x−11)

Hence, x

2

−2x−99=(x+9)(x−11).

❤️xXMissMarshmallowXx❤️