Answer:
[tex](x-12)(x-3)[/tex]
Step-by-step explanation:
We have been given an polynomial [tex]x^2-15x+36[/tex] and we are asked to factor our given polynomial.
We will factor our given polynomial by splitting the middle term in two numbers such that the numbers add up-to -15 and their product will be equal to 36.
We know that -12 and -3 add up-to -15 and their product is 36. So splitting the middle term of our given polynomial we will get,
[tex]x^2-12x-3x+36[/tex]
[tex]x(x-12)-3(x-12)[/tex]
[tex](x-12)(x-3)[/tex]
Therefore, the factored form of our given polynomial is [tex](x-12)(x-3)[/tex].
