will mark brainliest Factor x² + 5x + 6. a)(x + 1)(x + 5) b)prime c)(x + 2)(x + 3) d)(x + 1)(x + 6)
Mathematics · High School · Tue Nov 03 2020
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Given the quadratic equation:
x^2 + 5x + 6
Determine the factors.
Solution:
In order to determine the factors of a quadratic equation we must look at its 2nd term and last term. The two numbers must add up to 5, and their product must be 6, therefore the factors will be
(x + 2) (x+3)
In order to check if the factors are correct, we will use the FOIL Method.
To clearly see how it works, here's a step by step solution.
= (x)(x)
=x^2
First term of the first equation multiplied to the first term of the second equation.
=(x)(3)
= 3x
First term of the first equation multiplied to the last term of the second equation.
=(2)(x)
=2x
Last term of the first equation multiplied to the first term of the second equation.
=(2)(3)
= 6
Last term of the first equation multiplied to the fast term of the second equation.
= x^2 + 3x + 2x +6
= x^2 + 5x +6