Which of the following are the common zeros of the polynomials $(x^{2} - 4) (x + 3)$ and $(x^{2} - 9) (x + 2) ?$

x = - 3

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

x = 3

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

x = - 2

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!

Open in App

Solution

The correct option is C $x = - 2$
Let the given polynomials be
$P (x) = (x^{2} - 4) (x + 3)$ and $Q (x) = (x^{2} - 9) (x + 2)$

$Now P (x) = (x^{2} - 4) (x + 3) = (x - 2) (x + 2) (x + 3)$

Similarly, $Q (x) = (x^{2} - 9) (x + 2) = (x - 3) (x + 3) (x + 2)$

Now, common factors in $P (x) & Q (x)$ are $(x + 2) & (x + 3)$

$\Rightarrow$ Common zeros are $- 2, - 3$

Suggest Corrections

Similar questions

Column I	Column II
(a) The polynomial whose zeros are 2 and −3 is ......... .	(p) x²− 4x + 1
(b) The polynomial whose zeros are $(2 + \sqrt{3}) and (2 - \sqrt{3})$ is ......... .	(q) $x^{2} - 2 \sqrt{3} x + 2$
(c) The polynomial whose zeros are $\frac{3}{2} and - \frac{1}{2}$ is ......... .	(r) x² + x − 6
(d) The polynomial whose zeros are $(\sqrt{3} + 1) and (\sqrt{3} - 1)$	(s) 4x²− 4x − 3

f (x) = x^{2} - 4 x - 5

2 + \sqrt{2}, 2 - \sqrt{3}

x^{2} - 4 x + 7

- \sqrt{3} and \sqrt{3}

x^{2} - 4 x - 21

Join BYJU'S Learning Program