Which of the binomials below is a factor of this trinomial? x2 - 13x + 30

A. x - 5

B. x + 3

C. x - 3

D. x + 5

C. x - 3

Step-by-step explanation:

Given the trinomial:

We factorize the trinomial to determine which of the given options is a factor.

Step 1: Multiply the first and last term of the trinomial.

Step 2: Write out factor pairs of 30

Step 3: Determine which pair added together will give the middle term, -13

These are -3 and -10

Step 4: Replace -13x with -3x and -10x

Step 5: Factorize

Therefore, one of the factors is x-3. The correct option is C.

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