Factor the following expression completely: 6w^2-7w+2=square

Question

Factor the following expression completely: 6w^2-7w+2=square

Answer 1

To factor the quadratic expression

completely, we need to find two binomials whose product gives us the original quadratic expression.The general form of a factored quadratic expression is:

We need to find

,

, and

such that:

Let's try to find the correct pair of factors.First, list the pairs of factors of 6:

Next, list the pairs of factors of 2:

Now, we need to find a combination that satisfies all the conditions. Let's try:

Let's verify:

This matches the original expression. Therefore, the factored form is:

So, the completely factored form of the expression is:

Problemas

Factor the following expression completely: 6w^2-7w+2=square

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