factored form x2-15x+36 [tex] x^{2} -15x+36

GIven:

x^2 - 15x + 36

Determine the factor of the following expression.

Solution:
In order to solve for the roots or the factors of the equation, we simply must look at the 2nd and 3rd value. First we must think of two numbers that when added, the answer is -15, and when multiplied, the answer is 36. Hence, if we are unable to find the number, we will use the quadratic formula. Since we are given a value whereas we have a negative sum ( 2nd value) and a positive product ( 3rd value ), therefore we can assume that the two values are negative since if we multiply two negative numbers, the product will be positive, hence if we add the two negative values together, we;ll have a negative sum. In the case of the given, the two numbers that satisfy the equation are,

-13 and -2

This can be equated as ,

= (x - (-13) (x - (-2)

=( x + 13) (x + 2)

Final answer:

The factors of the given quadratic equation are -13 and -2.