1.

Find the zeroes of the given polynomial,p(x) = x2 + 5x + 6

Answer»

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 = 0 

⇒ x = -3 or x = -2 

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


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