Question

factor each trinomial. if the trinomial cannot be factored, write, prime.

Answer 1

The questions is to factor

$x^2-11x+30$

What we do with these trinomials is that, we factor them in the form:

$(x-a)(x-b)$

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:

$(x-6)(x-5)$