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.
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