Question

factor trinomials (a=1)
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question
factor.
$x^2 - 11x + 30$
answer
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Explanation:

Step1: Find two numbers

We need two numbers that multiply to \(30\) (the constant term) and add up to \(-11\) (the coefficient of \(x\)). The numbers are \(-5\) and \(-6\) because \((-5)\times(-6) = 30\) and \((-5)+(-6)=-11\).

Step2: Factor the trinomial

Using the numbers from Step 1, we can factor \(x^{2}-11x + 30\) as \((x - 5)(x - 6)\).

Answer:

\((x - 5)(x - 6)\)