Question

Find the zero's of the polynomial p(X)=X2+5X+6 in factorisation method

Answer 1

Answer:

Zeros of the given polynomial = -2 and -3.

Step-by-step explanation:

x^2 + 5x + 6 = 0

x^2 + 3x + 2x + 6 = 0

x(x+3) + 2(x+3) = 0

(x+2)(x+3) = 0

x = -2 or x = -3

:)

Answer 2

Step-by-step explanation:

p(x) = x^2 + 5x + 6

factorise right hand side

X^2 + 5x + 6 = x^2 + 3 X + 2 X + 6

= x (X + 3) + 2 ( X + 3)

= (X + 2)( X + 3)

equate both the factors to zero

X + 2 = 0

X = -2

X + 3 = 0

X = - 3

therefore the two zeroes are - 2 and -3