Question

Find the zeroes of the given polynomials.
(ii) p(x) = x + 5x + 6​

Answer 1

Answer:

$= > x {}^{2} + 5x + 6 = 0\\ \\ = > x {}^{2} + 2x + 3x + 6 = 0 \\ \\ = > x(x + 2)3(x + 2) = 0 \\ \\ = > (x + 2) \: \: \: (x + 3) = 0\\ \\ = > if \: \: x + 2 = 0 \: \: \: then \\ x = - 2 \\ \\ = > if \: \: x + 3 = 0 \: \: \: \: then \\ x = - 3$

Answer 2

Sᴏʟᴜᴛɪᴏɴ :

Given p(x) = x² + 5x + 6 is a quadratic polynomial.

It has atmost two zeroes.

To find zeroes, let p(x) = 0

⇒ x² + 5x + 6 = 0

⇒ x² + 3x + 2x + 6 = 0

⇒ x(x + 3) + 2 (x + 3) = 0

⇒ (x + 3) (x + 2) = 0

⇒ x + 3 = 0 or x = -2

Hence,

The zeroes of the polynomial are -3 and -2.