The questions is to factor
[tex]x^2-11x+30[/tex]
What we do with these trinomials is that, we factor them in the form:
[tex](x-a)(x-b)[/tex]
Where
"a" and "b" are two numbers
• when multiplied gives "30"
,
• when added gives "-11"
Now, we think about the two numbers, a and b.
So, we can say:
-6 and -5
added gives: -6 + -5 = -11
and
multiplied gives: (-6)(-5) = 30
Thus, our numbers are -6 and -5
So, factorizing:
[tex](x-6)(x-5)[/tex]
