Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Factorise the expression $96 − 4 x − x 2$ .

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

8 + x x + 12

8 − x x + 12

8 − x x − 12

None of these

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given expression is

96 − 4 x − x 2

.
Rewrite the expression as

− x 2 + 4 x − 96

.
Using the identity,

x 2 + (a + b) x + a b = (x + a) (x + b)

Compare the expression with the identity and split the middle term,
Here,

(a + b) = 4

and

a b = − 96

.
So,

⇒ 12 − 8 = 4 ⇒ 12 × − 8 = − 96

So, the expression can be written as:

− x 2 + 4 x − 96 = − x 2 + 12 x − 8 x − 96 ⇒ − x 2 + 4 x − 96 = − x x + 12 − 8 x + 12 ⇒ − x 2 + 4 x − 96 = − x − 8 x + 12 ⇒ − x 2 + 4 x − 96 = 8 − x x + 12

Therefore, the factors of

96 − 4 x − x 2

are

8 − x x + 12

.
Hence, option 2 is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!