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solve x^2 + 5x + 6 = 0 mathswatch

Solve X2 5x 6 0 Mathswatch class=

Sagot :

fouzanj39709

Answer:

x= -2

x= -3

Step-by-step explanation:

akposevictor

a. The factors of x² + 5x + 6 are: (x + 3)(x + 2)

b. Solution is: x = -3 or x = -2.

How to Factorize a Polynomial Expression?

To factorize is to find two factors that will give equivalent polynomial expression, also, the zeros of the x-values are the solution to the polynomial expression.

Given the equation:

x² + 5x + 6

Break the expression into groups

(x² + 2x) + (3x + 6)

Factor x from (x² + 2x) and 3 from (3x + 6)

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

Factor out the common term, (x + 2):

(x + 3)(x + 2)

Solve for x

x + 3 = 0

x = -3

x + 2 = 0

x = -2

Therefore, the factors are: (x + 3)(x + 2)

The solution is: x = -3 or x = -2.

Learn more about factorization on:

https://brainly.com/question/25829061

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