Questions: Factor the following trinomial. 6x^2 - 11x + 11

Transcript text: Factor the following trinomial. \[ 6 x^{2}-11 x+11 \]

Solution

Solution Steps

To factor the given trinomial \(6x^2 - 11x + 11\), we need to check if it can be expressed as a product of two binomials. If it cannot be factored into integers, then the trinomial is considered prime.

Step 1: Factor the Trinomial

We start with the trinomial \(6x^2 - 11x + 11\). Upon attempting to factor it, we find that it cannot be expressed as a product of two binomials with integer coefficients.

Step 2: Determine if the Trinomial is Prime

Since the factored form remains \(6x^2 - 11x + 11\), we conclude that the trinomial is prime, meaning it cannot be factored further into simpler polynomial expressions.

Final Answer

The trinomial is prime. Thus, the answer is B.

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