Which of the following is a factor of $x^{2} - 6 x - 16$ ?

x + 8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

8 - x

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

x - 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x - 6

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
8 - x

The given algebraic equation is $x^{2} - 6 x - 16$ .
We can factorize this using the following identity using,
$(x + a) (x + b) = x^{2} + (a + b) x + a b$
So, we have to first find the factors of 16.
$8 \times 2 = 4 \times 4 = 16$
We can see that, $8 - 2 = 6$ .
So, we split the expression as shown
$x^{2} + 2 x - 8 x - 16$
$= x (x + 2) - 8 (x + 2)$
$= (x + 2) (x - 8)$
Hence $x - 8$ is a factor of the given expression.

Suggest Corrections

Similar questions

Which of the following is a factor of $x^{2} + 6 x + 9$ ?

Which of the following are the factors of $36 x^{2} - 49 y^{2}$ ?

The value of the integral $\int (x^{2} + x) (x^{- 8} + 2 x^{- 9})^{1 / 10} d x$ is

6 x^{3} - 19 x^{2} + 16 x - 4

Join BYJU'S Learning Program