Question

foctorise the following x^2+5x+6​

Answer 1

Answer:

x2 + 5x + 6

Let us try factorizing this polynomial using splitting the middle term method.

Factoring polynomials by splitting the middle term:

We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.

On solving this we obtain, a = 3 and b = 2

Thus, the above expression can be written as:

x2 + 5x + 6

= x2 + 3x + 2x + 6

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

= (x + 3)(x + 2)

Thus, x+3 and x+2 are the factors of the polynomial x2 + 5x + 6.

Step-by-step explanation:

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Answer 2

Answer:

x^2+5x+6

x^2+3x+2x+6

x(x+3)+2(x+3)

(x+2)(x+3)

x=-2;x=-3

hope it helps u